{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import all library I needed \n",
    "import pandas as pd\n",
    "import seaborn as sb\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import Ridge, Lasso, LinearRegression\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "from sklearn.preprocessing import power_transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TV</th>\n",
       "      <th>radio</th>\n",
       "      <th>newspaper</th>\n",
       "      <th>sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>230.1</td>\n",
       "      <td>37.8</td>\n",
       "      <td>69.2</td>\n",
       "      <td>22.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>44.5</td>\n",
       "      <td>39.3</td>\n",
       "      <td>45.1</td>\n",
       "      <td>10.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>17.2</td>\n",
       "      <td>45.9</td>\n",
       "      <td>69.3</td>\n",
       "      <td>9.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>151.5</td>\n",
       "      <td>41.3</td>\n",
       "      <td>58.5</td>\n",
       "      <td>18.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>180.8</td>\n",
       "      <td>10.8</td>\n",
       "      <td>58.4</td>\n",
       "      <td>12.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      TV  radio  newspaper  sales\n",
       "0  230.1   37.8       69.2   22.1\n",
       "1   44.5   39.3       45.1   10.4\n",
       "2   17.2   45.9       69.3    9.3\n",
       "3  151.5   41.3       58.5   18.5\n",
       "4  180.8   10.8       58.4   12.9"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the csv of the data\n",
    "df_ad = pd.read_csv('Resources/Advertising.csv').drop(columns = 'Unnamed: 0')\n",
    "df_ad.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "radio_list = df_ad['radio'].tolist()\n",
    "# making the scatter sharex need to be set as false because of color setting (seems a bug?)\n",
    "df_ad.plot.scatter(x = 'sales', y = 'TV', s = radio_list, \n",
    "                     c = 'newspaper', colormap='viridis', sharex=False, alpha = 0.75)\n",
    "# text setting\n",
    "# plt.xlim(1905, 2020)\n",
    "plt.title(\"TV, radio and newspaper vs sales\")\n",
    "plt.xlabel(\"sales\")\n",
    "plt.ylabel(\"TV\")\n",
    "plt.text(38, 150, 'Note:\\nCircle size correlates with radio.')\n",
    "# figure saving\n",
    "plt.savefig(\"Output/TV_radio_newspaper_vs_sales.png\", bbox_inches = 'tight', dpi = 300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# test whether there is any nan here\n",
    "df_ad.isna().any().any()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TV</th>\n",
       "      <th>radio</th>\n",
       "      <th>newspaper</th>\n",
       "      <th>sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>230.1</td>\n",
       "      <td>37.8</td>\n",
       "      <td>69.2</td>\n",
       "      <td>22.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>44.5</td>\n",
       "      <td>39.3</td>\n",
       "      <td>45.1</td>\n",
       "      <td>10.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>17.2</td>\n",
       "      <td>45.9</td>\n",
       "      <td>69.3</td>\n",
       "      <td>9.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>151.5</td>\n",
       "      <td>41.3</td>\n",
       "      <td>58.5</td>\n",
       "      <td>18.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>180.8</td>\n",
       "      <td>10.8</td>\n",
       "      <td>58.4</td>\n",
       "      <td>12.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      TV  radio  newspaper  sales\n",
       "0  230.1   37.8       69.2   22.1\n",
       "1   44.5   39.3       45.1   10.4\n",
       "2   17.2   45.9       69.3    9.3\n",
       "3  151.5   41.3       58.5   18.5\n",
       "4  180.8   10.8       58.4   12.9"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_ad.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TsRrySqIId49aTcS7rxL6VG+03l5c+mUHR18bjyktvcjwoIdaEfHuq3iFVyU/PpkzU+aQsny9/bhbSBC1J4+iTLvmYLOR8uMmTo75GGtefkmV6O5Qq6n8wnCCe/RA4+VJ5q5dxE38CHNGRpHh/i2aU/mF4XhUqYIx+QJJ8+dzedNP9uMBrVpSe8Z0p/P2d+qCKS2t2IpxV6lUuLfqhltkE1Rueizxx8n/9QeUvBynUK9+L6Kt+ECRl8n9bjrWpLOoPLzQt3sEbdVaAFgST2P8fSVKblaxFuNus9oUZu06ytqjCeSZLbSoHMLbHepTxkvvFPvc8m0cTLpc5HXm9W1Dg7Agdpy7yCurdjkd3zCkMyE+nnc9/8XFarMx+7vVrN+6i7z8AprVj+StQQMo4+9bZPw7n8zltz0HHdIa16nJzDGvAZCZncOnC5ez59BRFBQaRdbklaf7ElImoNjLcjfZbFZifvmM0zErMZvyCHugFc17jsHDO6jI+LjDGzi8dR7Z6Ql4+JQlvFEf6rYehFqtASA1IYb9P31MxoXjuOl9qF6/Bw06voxG61aSxRLFSBqm/3Lh775M5ef6c37+8pvGuAUF0GT9l1z4bh2Hn/sfZTu2IGruBxRcvMzlX3cCUPeL8fhFR7K/91BUWi315n1I3S/Gc+jpN0uqKHfFA6NfJPTJ3hweMhJTxhUiPx1LgyXT2dPxP06xAc2iabxyLvGzFnFo0Fv41Y+kzozCRv6FpWtQabU0XTsfxWYjpt8LWI0F1P54NA2//5x93Qfdg9L9c5WeH0pwj+6cGjMWS1YW1UeNpObUKRwZNNgp1qdePWrPmE7K0u849b8xeNWsSfX/vYNKo+HS+g0AeNaoQe7xExx76WWHc2/W0HVF7i264BbZhPyN32LLN+DRsS+ePQdh+O4zp9i81fPhrw9OAFQqvB59DsVkxJp8DgDP7s+ARofhh1mggMeDffDsPQTD4o9Lqkh3xZw9x1h37DzjOzfCT+/GpM2HeGvdXub3a+sUO6VHM8xWm/25oii8snoX3m46oioEAnDmchYRwX5M793S4dxAT/fiLchdNm/5WjZs2827LzyLn7c3k79awshps5k3fkSR8WfPJ/PCE4/QrW1ze5pOe+0jecxnX1JgNjP9f6+gUqmYMn8pb0/9gm8mvlPsZbmbYn+byenYVbTpOwl3D392rx3Pb0teoftz3zrFJp7cxtblI2jadRRh4a1JTznOzpVjUaxm6ncYTm5mMj99818iGvelzWMTyclMYtsPI7HZLDTtOvIelK7kyBxTUep5VA2j2S8LqTR0AHkJyX8bW3FQXyxZuRx97QMMJ+OI/3wxyUvWUO31wsaVPjSE0P7d+fOlcVzZ+weZOw9yeOhoKvTrhnuF4JIozl2h0umoMvxpTr77CZc37yL70DEOPf0GgS0a4t802im+6muDydwTy/EREzGcOseF79cRN20e4WMKG1vBXdriUyecmP+8Quae2L+u9xpl2jUjsFXjki7eP6bSaik/oD8JMz4na+9eDCdOcHLkKHyj6+NTL8opPvSZp8n54zDnpn5Mfnw8lzdtIvmbBVQa9rw9xrN6dfLOnMGcnu7wQFFKsmj/nFqDe4O2GLevw5JwEltaEnnrFqANq4amQhWncMWYh5KXY3/oIhuj9itD3toFoNhA546m0gMU7PsVW1oytkvJFOz9BW25Sqj0padX0Gy18V3sWV5oGUmzyiHUCglgYtcm/HEhnT8uOI86+OndCPLS2x/rj58nOSuPD7s2Qasu/Pg5ezmbGmX8HOKCvPSoVaXng9hssbBs42aG9e9N06ja1KxWifdfGcLhk2c5fPKsU7zJbCYxNY3a1atSxt/P/vD19gLAkG/kwNGTPN2rExFVKxFepSIDH+nC8bgEsnINJV28f8xqMXFs9yIaPfwaoTVaEhQaSbt+00hLiCE1IdYp/uS+ZVSJfIjazf+Db5lKVK3TiTotn+FUzEoAcq4kUyXyIZp2HYlvmUqE1mhBtbpduHB2T0kXTRQjaZgWISkpiYiICDJKUe/OjQKbNyA/KYXt0T3Ij0/6+9hWjUjfsd+h0ZC+dR8BLRoAENC8AYrNRuauGPvxzF0xKFYrgS0bFk8BioFvvZrofL3J2LbPnpZ/Ppm8+KQiy+FVvTKZOx2H2rL/OI5nlTD0YeXxrF4Z48U08s4m2I8bk1MxXc4ksHXpaZh6RUSg9fYm68ABe1pBSgrG5GR8o50b7B6VKpId6/ihYjh5En1oKG7lygHgWaM6eefOFW/Gi5EmOBSVux5L4hl7mpKdgS0rHU1Y9b89V+Xpg77Zwxh3rL827G81g8mEW50m4OYOOjd0kY2xZl5CMZaeaR8nL13BYLLQKOzaMGwFPy8q+HoSm1z0kP1Vlw1Gvtp7khda1iboumH/s+nZVA30KbY8l4RT8Ynk5RtpUDvcnlYhOIjyZctw6MRpp/j45ItYrTaqhpUr8nruOh0eenfWb91Dbl4+eUYjG7buIaxcMD6eHsVWjrstI+UE5gID5ao2saf5BITiHRBKasIBp/h67Z+nfocXHBNVakz52QCUr9qENn0m2Q9dTj5KwvHfCK3h2Nv+b6TSqIr14UpkKP9fKnnJGpKXrLmtWH1YObIPHXNIK7iQhtbLE12ZAPRhIZjSMlAsFvtxxWrFlJaBR1j5u5rv4qQPLfwQMF5IdUg3pqShL6IcBSlp6G/44PCoHAqAe3AZClLS0AX4o/H0sM8p1Xh7oQv0w61smeIoQrFwCyns9TZduuSQbrp0CfeQEKd406VLuN2Q7l6+QuG1AgMwpaXhUaUK3rVqUX/ZUnQBAeQcPUrCp9PJT0hwup4rUvn4A6DkXnFIt+Vmof7r2M24N+mILS8X0x87rzvRRt6mb/F4qB++L00CBZS8HAzfTQdKSS8ykJZT+D4v6+3YOCrrpSc15+8b2Av2nyLA053H6lazp1ltCvEZORxPu0L/Rb+RmV9AZEgAL7euQ5VS1FhNS88EIDjQcf5n2QB/Uv86dr24xAvotFrmfr+W3Yf+xN3NjQebNeDZR7vh7qZDq9UwdtgzTJy3mI6DXkMFBPr7Mvu9N1GrS09/kiH7IgBevo4ja54+wRiuXHSKLxtW1+G5yZjLiX3fERreyil28YQmmIw5lClfi/rtn3c6Lkqv0vMO/4dsNhvvv/8+LVq0oHnz5gwePJiEhAQKCgqYMGECDz/8MPXr16dDhw6sWVN0Q+7MmTMMHDiQxo0b07lzZ1avvrYoaPPmzXTr1o1GjRrRo0cPVq1aVVJFu2s0HnqsRpNDmq2g8LlG74bGwwOrscDpPFuBCbW+9MwD03joUaxWhwY2FJZDo3eeOJ+8dA3l+3Sh3KOdUWk0+NarRbVXCqc3qHQ6Lv28HUt2LnVmjkfr54PW15s6098DRUHtpiuJIt0VGv1N6sVkRu3u/PNNW7+BoIcfpsxDD4FGg1dEBKFPPwkU1os+LAyNXo/aTceZ8e9zYsRI1Do36sz/El1A6Vi4odK6odhsYLM5HrBaUGn+5merc8etblNM+35zmragCQzBdjkFw7KZGJbNwJaZhmevwaArPb9DRosVtQp0N3wLjU6rocBqvel5BpOZ1UfjeabRA2iuW12clJVLgdWG2Wpl9EPRTOrWBJPVypDvt5GRZyy2ctxtRpMJtUqFVqtxSNfptJhMZqf4uKQLKIpCldByTBv5EkP6dGf15p1MmrfYHpNw4SLVK4Yya+zrfPHem1QqH8LbU7/AkF966sViNqJSqVHf8Duj0bphtTh/pjica8rnt29fxGo20vjh1x2OKTYbnZ79iocHzsNiNvLzwudRSss0oX9IpVYX68OVuFZuisEvv/zC7t272bRpE9u2bSM4OJjp06czf/58jh49yvLly4mJiWHgwIGMGzcOs9nxj4jBYODZZ5+lVatW7Nq1i8mTJ/PRRx+xb98+rFYrI0aM4J133uHAgQOMGjWKcePGkZVVylbZGo2o3R0bZlefWwz5WPOdj1+NseaVnlX5tvwCVBoNKo3jh4fa3Q2Lwbm3J3nJas5MnEW9uRPpfOUwDZbO4Nz0rwGwZOdgzsziYN/h+Desy0PJe+lwdhvGpBSyD5/AkuW8cttV2QoK64Ub68VNhzXfuV4urVtP4rx5PDDuPVrs3U3Nj6eQvKjwA9WSk4vx/Hn2tm3P8dfeIPfoUXIOHeLEm2+hUqkp271biZTp/0uxmAv/WKtu+BOp0aKYTUWfBOhq1AW1GtNxx2FKTWg13Ft2JW/9QqxJZ7Emx2FY9RVq34DC4f1Swl2rwaaA5YYGu9lixUN78wG4rWdTsNoUutaq5JBeOcCHzcO683HP5tQpF0h0aBBTejTDpiisP55YLGUoDu5ubtgUBcsNjXOz2YK+iJv35/v1YsPcKQzo1pEalULp1KoJrw98nA3b9pCVk0vs8dPMWbaG8S8NpkHtcOrXrMHkN4dx8XIG67c472DgqrRaPYpiw2Z1vOm1Wkxo3W4+t9poyGTT14NIv3CMhwfOwzsg1OG4Sq2mbFhdwh5oRes+E0lLiCHt/KFiKYMoef/6oXx3d3dSUlJYsWIF7du354MPPkCtVnPlyhX69euHj48PKSkpeHh4kJubi8HgOLF869ateHp6MmTIEACioqJ47LHHWLZsGY0aNcLd3Z2VK1ei1Wpp3LgxBw8eLFVDLQDGxIvoy5d1SHOvEIwlx4AlKwdj0kXcgwNBrbb3IKk0GtyCAzEml5Ktf4D85BQA3MuVxZh8bRhJXz6YtBuG9686M+kLzk6Zi9tfQ/fB3dpjs1jIP38BgCv7DrG1XmfcygZiyTFgMxbQMXEPSQt+KP4C3SUFFwvL7hYUhCn1Wj24lS2LKW1rkeckzfuSpPlfFw7dX7pMYNs2KBYLBSmFdWzJznaItxmNGJOTipwa4IqUnMLhV5W3L0rOteF8tbcf5twjNz1PV6MO5rNH4YbGq6ZCFRRDNorhunopyMeaeQm1f1lKixCfwiH8ywYj5a7byumSwUhb75vPfdxyNoXW1crhoXP+yPG7YbTCQ6clzM+L1JzSc9N7dQun9MwsQoIC7emXMq/QJqCeU7xarcbvr4VOV1WvVNj4Sk3P5M/TcZQJ8KNs4LVpIz5enlQqH0JiquOUG1fm5Vc4FSov5xLe/temS+XlpOHpW/TC2ZzMZH76ejDmAgNd/7uIwHIR9mOZaWfIy051mFMaGFI4rzcvu+i/4f8W99M+pqWrBfUPtGvXjrFjx/Lzzz/TvXt3unTpwm+//UZubi4jR46kWbNmvPTSS+zZU7iqz3ZDT0BycjJJSUk0atTI/li8eDGpqamo1WoWLlyI1Wrl5ZdfpmnTpnz00UeYTDfvUXFFGTsPEtiqkUNamXZNydgVA4pCxq6DqLRaAppfWwgT0LIhKrWajF0Hb7ycy8o5fAJzdq7DwiSPSqF4VgkjY4fzRPzKz/+HWpNHoVitFKQUNsBDenTkyp5YrIY8PKtXptmv36IL8MN0KQObsYCAlo3Q+ftwefPuEivX/5fh1Cksubn4NWxgT3MvXx59aChZMTFO8eX6PU7VN98AqxXTpcIFL4Ht2pF9+DC2/HwC27Wj2Y5taAOufahqPD3xqFyZvLNxxV+gu8B6KRmlwIg2rIY9TeUbiNqvDNYk51XWV2nCqmM977zYRcm5gsrTB5Wn97VErQ61XxlsV0pPQyM8yA8vNy0x1+1NeiHLwIXsPBqEFb0vJcCh5Ms0rujcAP/9zAVaz1xDZt61YV2DyUzClVyqlSl6/09X9EDlMDw99MQcP2VPu5B2mZRL6dSv5by/7TufzGXE1C8c0k6cTcBNpyWsXFmCywSQkZVNRta1GxljgYnktMtUKld6dkIJLF8TnbsXF+P329NyMpPJzUymXJVGTvH5uels/OoZFEWh+9ClDo1SgMQTW9iy7E0s5mvvl0tJhTeK/sF/vyhRlB7/+h7TxMREatWqxdKlS8nNzWXJkiW8+uqr1K9fn2rVqvH555+j0+k4evQo69atczo/ODiYmjVrsmLFCntaWloaKpWK/Px80tLS+OSTT1AUhdjYWF588UUiIiJ49NFHS7KYd0Sl0+EW6IcpIwvFbCbx6x+o/uYQ6swaR1iTzQ4AACAASURBVPz0BQQ92ILQ/t3Z1+2/QOFCqJTlG4ma8wGHn3sHVCqiZk8g6dvVFFwoPT2mNpOZ83OXUGviCEzpmZguZRD56VjSt+3jyv4/UOl06AL9MP9VL7kn46j10UiyYv4kc1cMFR7vRmj/HuzrXri3Z35CMvoKIdT+eDSn35+BPqw89b76iMQFK8iLO3+PS3v7FLOZi8t/oMprr2K+cgVzRibVR40k68ABco/8iUqrRevnhyUrC8ViIT8+nqpvvEHusWNkxx4iqEtnynbrytFhwwHIOngQi8FA+IQJxH/2GSqNlsovvoA58wpp69ffIjcuwmql4NAO9O16oeTnYsvLxaNjXyyJp7GmJIBag0rviWLMA1vh8K3Kyxe1ly/WyxecLmc++yf6nEw8uw8kf+sqsFrRt+wKFjOmo/uc4l2Vm1ZDn6hqfLrtCP4ebgR4uDNp8yEahgVRt3wgZquNLKMJP72bfR7qpdx80vMKqBHk53S9hmFBeLlpGbNpP6+0rovFZuPznUfx17vR7YZhf1fmptPR5+G2TF+0An8fbwJ8fZn81RIa1A6nbng1zBYL2bkGfL290Gm1dGjWgNGffcmSdb/QplF9TsafZ/riFfyn+0N46vW0bhhFSJlA/vfpPF5+qs9fC6XW4O6mo0ubZve6uLdNo3WjZtMB7N84Bb1nAHqvQHavHU+5qo0JrlQfq8VEQX4W7h5+aLRu7F47AaMhky6Dv0Gjcycvp/CmTaVS4eEdRI3oXhzZ/hU7fvwf9TsMx5CVwq7V46hatwsBIUV/wcW/xf20j+m/vmG6Z88e5syZw4IFC6hQoQK+vr54e3uTn5+PXq9Ho9GQlpbGtGnTALDcsACkXbt2TJo0ieXLl/PII4+QkpLCkCFD6NatG4MGDWL48OGMGzeOHj16EBwcjEqlwt//71ft3msBzaNp/tsidj/4FBnb9mFKS2df9yFEfjKaVvtXkZ9wgUPPvk36lmt7wx0eOprIz0bTeM1cFIuFlB9/4tjrH97DUvwzp8Z9hkqno/5XU1DptFz6ZTtHXxsPFG6o3+ynhezp9DQZ2/eR/vtu/nxlHA/870X05YPJOXaaA32Gk7Gj8O5fsVg48Njz1P54NK32rMR8JZvkxSs5/f7Me1nEfyTh81motFrC338flVbLlV27ODvpI6BwQ/26X87lyJDnyD54kKy9+4ibOJGKQ4fiVrYseWfPcPyV18g+WNi7as3J4ejzw6jyyivUmTcXlUbDlb17+XPo8yilaDShYMd6VBoNHl2fQqXRYD53HONvhVM0NKFV8e73ErnLZmD9a0splVdhD59iLGII2mwi9/uZ6Nv2wuux5wEV1uQ4cr/7DEx/vwjE1QxvWRuLzcbojQew2Gy0qFL4zU8Af1xIZ+gP25nTpzWN/uohvWwoXKzjW8QCQ1+9G1881orPtv/Jc8u3YVUUmlYKZnaf1rjfsJDI1Q3t1wuLxcq7M+djsVhpXj+StwY9AcDhk2cZPn4as8a+TsPICDo2b4TJZGbx2p+Z/d1qAvx86NelA8/07gyAp17PrLGvM2PxCl6bOANFUYiKqM7ccW/hXYq2iwJo2PEVbFYLW5ePwGa1EBbeiuY9xgKQdv4QG796hi6DF1C2YhQJR39BUWys/eJxh2uo1BqenfAnnj5l6TL4G/ZumMSaWX3RuXlSvX4PGj706r0omigmKuVfvpTNZrMxdepU1qxZg8FgoGrVqowePRqNRsPo0aNJSkoiICCAvn37snDhQqZNm0bFihV58MEH2b17N4GBgRw/fpwPP/yQEydO4O7uTo8ePXjjjTfQarVs376dKVOmkJiYiLe3NwMGDGD48OG3nb/1uohbB91nuplPssGz5r3OhsvpmneCndGlZ9/YktIy9iBZU1+519lwOX5vfkbu7FH3Ohsux/v5iVw5tOVeZ8Pl+Ndvx0c/2G4deJ95u49rzHj8o3ObYr1+vU3bivX6d+Jf32OqVqsZMWIEI0Y4fy3c2rVrHZ4PGzbM/v+TJ0/a/1+rVi0WLVpU5PVbt25N69at71JuhRBCCCHuX//6hqkQQgghRGnmanuNFqf7p6RCCCGEEMKlSY+pEEIIIYQLk31MhRBCCCGEKGHSYyqEEEII4cJkH1MhhBBCCOESZChfCCGEEEKIEiY9pkIIIYQQLky2ixJCCCGEEKKESY+pEEIIIYQLkzmmQgghhBBClDDpMRVCCCGEcGHSYyqEEEIIIUQJkx5TIYQQQggXJj2mQgghhBBClDDpMRVCCCGEcGGyj6kQQgghhBAlTHpMhRBCCCFcmFojc0yFEEIIIYQoUdJjKoQQQgjhwmRVvhBCCCGEECVMekyFEEIIIVyYrMoXQgghhBCihEmPqRBCCCGEC5M5pkIIIYQQQpQw6TEVQgghhHBh91OPqTRMhRBCCCFcmCx+EkIIIYQQooSpFEVR7nUmhBBCCCFE0RKHP1as1684a0WxXv9OyFD+PbbBs+a9zoLL6Zp3gvW6iHudDZfTzXySX0Lq3OtsuJyHUv8k84Nh9zobLifgf1+Q8f7Qe50NlxM4eg5pxw7c62y4nODajfhwmfVeZ8PlvNNPc6+zcN+RhqkQQgghhAuTOaZCCCGEEEKUMOkxFUIIIYRwZar7Z7so6TEVQgghhBAuQXpMhRBCCCFc2P20wb70mAohhBBCCJcgPaZCCCGEEC5MVuULIYQQQghRwqTHVAghhBDChckcUyGEEEIIIUqY9JgKIYQQQrgwmWMqhBBCCCFECZMeUyGEEEIIFyZzTIUQQgghhChh0mMqhBBCCOHCpMdUCCGEEEKIEiY9pkIIIYQQruw+WpUvDVMhhBBCCBemUslQvhBCCCGEECVKekyFEEIIIVyYbLAvhBBCCCFECZOGqRBCCCGEC1OpVcX6uBMnT56kf//+1K9fn86dO7N169Yi486dO8fAgQNp1KgRrVu35pNPPkFRlFteXxqmQgghhBDilkwmE8OGDaNTp07s37+ft956i1dffZXk5GSn2DfffJMmTZqwb98+lixZwqpVq1i9evUtX0MapkIIIYQQrkytLt7Hbdq7dy9Go5GBAwei0+l48MEHadKkCWvXrnWKjYuLw2azYbPZgMKdBdzd3W9d1NuvFSGEEEIIcb86e/Ys1atXd9i+qlq1apw+fdopdtiwYcyaNYuoqCg6duxIixYt6NKlyy1fQ1blCyGEEEK4sOL+StLs7Gyys7Od0n19ffH19bU/z8vLQ6/XO8To9Xry8/OdztVqtYwYMYIBAwYQFxfHsGHD+O677+jfv//f5kUapkIIIYQQ97EFCxYwc+ZMp/QXX3yRl156yf7c09MTo9HoEGM0GvH09HRI+/PPP/nyyy/ZuXMnKpWKWrVqMWjQIL7//ntpmN631Goi3n2V0Kd6o/X24tIvOzj62nhMaelFhgc91IqId1/FK7wq+fHJnJkyh5Tl6+3H3UKCqD15FGXaNQebjZQfN3FyzMdY85zvkkqLOp+PQ6XVcGTo6JvG+DWsQ+1p/8Ovfi2Myamc/nAWyYuvTd5We+iJnPYO5Xo/jEqrIWXFJo69MRGrIa8kinD3qNXUGPUyFfr1QuPtRfrmHZwY9QGmS0W/X8q0b0mNkS/j+UBV8s8nEf/ZPC6u3Gg/risTQPi4EQS1bwkqFRk79nLq3SkUpKSWVIn+/1Qq9G174l6vOSo3d8xnj5H303cohpwiw7WVI/Do0BtNUHlshmwKYrZTsOeX6wJ0eD7cF11ENKjVmI/HkPfLD2AuKKEC3SUqFR7teuEe1QKVuzvms0cxbFp683qpEoFn+0fQlK3wV71sw7j75+sCdHg+3A+3moX1Yjp+kLyfl5e6erFabcxb8j0bf99Ofn4+TaKjeP25Zwn09ysyfuyU6fy+a69DWsOoSD4d945T7O+79jJ2ynS+n/Mp5YPLFkv+i4tKBW3rqIiqqsJNC3EX4aeDNgw3+fHWqqiiRS0VAT6Qmw9/xCnsOalwdTF3SAB0iFJTPhDMVjiborD5DwWjqeTKdC+oVMU78/KZZ57hkUcecUq/vrcUoHr16nz55ZcOaXFxcURHRzukXbhwAbPZ7JCm1WrRam/d7JQ5pv9SD4x+kdAne3N4yEj2PPwU+tAQGiyZXmRsQLNoGq+cS8aug+xs1YezU+dSZ8Y4KgzoCYBKq6Xp2vl4R1Qnpt8L7H/kOXzr16bh95+XZJHuqvB3X6byc39/1+YWFECT9V+SHXuU7U0eJf7zRUTN/YCgji3tMXW/GE9Ai4bs7z2U/b2fp0ybJtT9YnxxZ/+uq/7WcCo83pM/X3yHA72ewb1CCFFffVJkrF/jaKKXfEHmvhj2PtyP+OlfUmvKu5Tv08MeU3f2ZDwqhRLT7zkO9h2Ce7lg6n39WUkV567Qt+mOe1QzDGu+IWfRNNS+AXg/9lyRseqAsnj3G4759BGy571P/uaVeLTuhnvDtvYYz67/QRtWg9xlszB8/wXayuF4dn2ipIpz13i06YF7VHNy13xN9sKpqH0C8O7zfJGx6oCy+PR7EdOZI2TNHU/ebz/i0bo77g3b2WO8uj2JrmJ1cpbNJHfZ5+gqh+PV7T8lVJq75+tlK9j0+3ZGv/w8M94fw6X0DEZ/9OlN4+MSEnn+qf6smv+5/THhrVec4i5nZDL1i/nFmfVi1TpSRd2qKtbstbHodxs+nvBoy6KbHtXKQa9mKg7FKXy5ycaWwzaa1SpsqAJ46+GJtmquGBQW/Gpj5S4bFQJVPNJcmjL/X76+voSFhTk9bmyYNm3aFI1Gw9y5czGZTGzevJm9e/fSrVs3h7gGDRoA8Omnn2KxWIiPj+frr792iiuK/DT/hVQ6HVWGP83Jdz/h8uZdZB86xqGn3yCwRUP8m0Y7xVd9bTCZe2I5PmIihlPnuPD9OuKmzSN8zMsABHdpi0+dcGL+8wqZe2L/ut5rlGnXjMBWjUu6eP8vHlXDaPbLQioNHUBegvP2FterOKgvlqxcjr72AYaTccR/vpjkJWuo9vogAPShIYT2786fL43jyt4/yNx5kMNDR1OhXzfcKwSXRHHuCpVOS6X/PsnpDz8jY9tuco4c58jQtwho2gC/RvWd4qu8MJAr+w9xasxH5J05x8UfNxA/cz7V334BAI2XJ4GtmhI/8yty/jxB7tGTxH82D7/oOmj9fZ2u55LUGvSN25O/ZTWWcyewXkzEsPJLtBVroAmt5hSuq14bxWzCuGMDtiuXMZ+IxXzmT7TVagOg8vHHLbIxeZuWYr1wDkviGfLWL8YtshEqn6J71FySWoO+SQfyfl+F5dxxrBcTyV35JbqKNdCGFVUvkYX1sn39X/USg+nMEXTVr6+XJhg2LcWaXFgvhnWLcItsjMrHv6RL94+ZzRaWr9vEc08+TuP6dYmoXpX33niJIydOceTEKad4k9lM0sVUaj1QjTIB/vaHj7eXU+ykmXOpXqViSRTjrlOroXG4ii2HFeJTITUTVu2yUbGsitAyzvENaqg5kaRw8IzCFQOcSIJ9JxWiqhY2TGtVUmGxwaaDCuk5kHS5sPe1ajkVvp7O1/tXUauK93Gb3NzcmDdvHlu2bKFZs2ZMmTKFTz75hIoVK7JmzRp7z2lQUBDz5s1j//79NGvWjEGDBtGnTx+eeuqpWxf1H1eScFm+9Wqi8/UmY9s+e1r++WTy4pMIbNnQKd6remUydx50SMv+4zieVcLQh5XHs3pljBfTyDubYD9uTE7FdDmTwNalq2Ea2LwB+UkpbI/uQX580t/HtmpE+o79cN2GwOlb9xHQovBOMKB5AxSbjcxdMfbjmbtiUKzWIuvZVfnUqYnWx5vMXfvtacbEC+SfTyKgWQOneM+qlbmyN8YhLefIcTwqhaEPLYetwITVkEeFxwunBWg8PSj/eE/y4hKwZBU93OtqNOXCULl7YEm41qiwZWVgvXIZbaUaTvE2Qy5qT290tRsBKtRlK6CtVANrSuHvjDasGigKlqSz9nMsiWfBpqANc76eq9KUq1hEvaQX1kvFB5zilbzCenGLbAyo0JStgK7SA1j+qhddWPXCekk8Yz/nar3oKpaeejl9LoG8fCPRdWrb08oHl6V8cFkOHzvpFH8+6QJWq5XKYaF/e92VG38hPfMKz/R1HmItDUL8wV2n4nzatb+hWXlwJVehYlnnxtDOYzZ2HHXcgF1RQO9W+P/TyQqrdtmu/5PM1f9ejRHFLzw8nCVLlhATE8PGjRtp3749AD179iQ2NtYeV79+fZYsWcKBAwfYvHkzQ4cORX0bW1MVyxzTpKQkHnzwQXbv3k1gYGBxvITLioiI4IcffqBu3br3LA/60HIAGC84zuczpqShDyvvFF+QkoY+rJxDmkflwj+Y7sFlKEhJQxfgj8bTwz6nVOPthS7QD7eyRdz2urDkJWtIXrLmtmL1YeXIPnTMIa3gQhpaL090ZQLQh4VgSstAsVjsxxWrFVNaBh5F1LOr0pcv/NkXpKQ5pBdcvIR7hXJO8QWpl9DfkK6vWAEAt6AyGJMvcvTl0dSa+i7tT+8GRcF0KZ39vZ5xaOS7MrVPAAC2nCsO6UpOFmrfAKd484lYCg7txKv3s9BrICq1BtOxAxh3bLRfT8nLgb/28yu8mA0lL6fI67mqa/WS6ZBuy7lSZDlMx2Mwxu7Aq/cgvHo9i0qtoeDoAYzbNxRezzcAxZDtXC+G7FJVL5fSMwAoG+iY5zKB/qRddp6nHXc+CZ1Wy/zvVrAn5g/c3dxo36IJT/ftjbtbYQvrfHIKc7/9nhnvjyGvlM7l9/Uo/DfnhuznGCmyhzMlw/G5mxYa1FARl1L4d+OKofBxvWY11WTnKVzKukuZdlGqO9hrtLS7f0p6H9F46FGsVocGE4CtwISmiNvK5KVrKN+nC+Ue7YxKo8G3Xi2qvVI4XK3S6bj083Ys2bnUmTkerZ8PWl9v6kx/DxQFtZuuJIp0T2g89FhvmFFvKyh8rtG7ofHwwGp0nsFvKzCh1t96E2FXob7Z+8VkQlNEOVKWryWkVydCenZCpdHgU6cmlYcPBArfLwCeD1Ql98RpDj46iAO9B2I4m0C9bz5D41U6xttUOjcUm82xwQQoVgsqrfN7XqX3QO1XhoLdv5AzfxKGNd+grVoLfZtu165nMTudp1iKvp6rulm9YLXATepF418G466fyf5qIrmrv0ZXrRYebboXBujcUKwWp/OUm1zPVRkLClCrVU4LO9y0OgrMzj/3c4lJKChUCq3A5NFv8my/R1j36xb7XFKL1cr7n33BE490p0aVSiVShuKg1aqw2RRsN9yPWq2g1dziXA30aaVGq4HfDxd9Q9suSsUDFQqH80vJPa+4DbfsMbXZbHz44Yds2LABRVGoXbs2Y8eOpVy5ckyePJnt27eTlpZGYGAgr776Kj179nS6xpkzZ3j//fc5evQoZcqUYdiwYfTq1QuAzZs38/HHH5Oamkr58uUZPHgwvXv3vmXGn3rqKRo2bMi2bds4d+4cNWrUYMKECdSsWROAjRs3MmvWLJKTk6lcuTKvvvoqbdsWLkTo0KEDrVq14qeffqJVq1a0bNmSdevWUaFCBTZs2IC/vz8TJkzgp59+Yv369fj5+fHBBx/QvHlzbDYbn3/+ORs2bODixYt4eXkxaNAgBg0adEcVX5xs+QWoNBpUGg2K1WpPV7u7YTE433knL1mNR6UK1Js7EfWCj8lPTOHcZ/OJ/GQsluwczJlZHOw7nHrzJvFQ8l6s+UYSvlhM9uETpWZo9p+wGo2o3R0b8lefWwz5WPOdj1+NseaVnlX5NqOx6PeLm1uRuy6kLF+DPqw8kZ+9T93ZkzEmpxA/6xtqTRqNJScH/6YNqPH2i2yP7khB6iUA/hj4Mq0O/kyF/r1J/GpJiZXtn1LM5sIeCpUalGuNMJVGi2Jyvhnx6PAI2Kzk/74KAGtqEqjVeHZ5goL9v6NYTKg0zn9uVVotSilafa5YTEXWCxptkavoPR98FMVmI//3lQBYUxNBrcar638w7t8M5pvUy03q2VW5u7thsylYrFa0mmstLpPFjEcR33Tz3yf6MqBXN3x9vAGoXrkSarWa9z6eyYvP/ocfN/6MWqXiid49nM4tTSxWBbVajUrlOFii0YDZ+X7EzsMN+rZWE+QLS7fayL7hz6lKBZ0aqIiurmLTQYXTF4on/66kuPcxdSW37DH95Zdf2L17N5s2bWLbtm0EBwczffp05s+fz9GjR1m+fDkxMTEMHDiQcePGOW0PYDAYePbZZ2nVqhW7du1i8uTJfPTRR+zbtw+r1cqIESN45513OHDgAKNGjWLcuHFkZd1en/yPP/7I1KlT2blzJyEhIUyZMgWAnTt3MnLkSN5++23279/PSy+9xMsvv8zx48ft58bHx7Nlyxbee+89+zmNGjXiwIEDtG7dmv/+979ERkayZ88eOnXqxNSpUwFYt24da9as4ZtvviEmJob33nuPqVOnkprqOtvg5CenAOBeznFbEX35YAouFJ3PM5O+4OeQRmwOb8+W2h3JT0rBZrGQf77wN/7KvkNsrdeZ36q24teKzTk5dhqeVSqSd+588RbmHjImXkRf3rEO3SsEY8kxYMnKwZh0EffgQIevc1NpNLgFB2JMTrvxci7LeOEiAG4hN5S1XFmMN9ne6dwnc/i9RjO2R3dkR+POFFy4iM1iwZh4Ab+G9ShIvWRvlAJYsnPIO5uAZ9XS0ftjyykcU1R5Oy5MUvn4OQ3vA2hDq2JJcfxdsCTHo9JoUfsGYMvOROXlU/iJar+YGpWnT5HXc1W27MIhfPUNC7bUPv5FlkMTWs0+z/Yqa/K5v+ol8Ob14uWLUorqJbhM4ZSm9EzHPKdnXCGojPOUBLVabW+UXlWtcuECp7T0dDZu3s6puHi6PDmEhwcM4vVxkwB4+uW3WfjDrb9r3FVcbVB6O+7Hjo/eeXj/Kj9PeLqjGn8vWLTZ5jS8r1HDYy3V1KuqYvUehdiz0lX6b3PLhqm7uzspKSmsWLGC5ORkPvjgAz7++GMGDBjArFmz8PHxISUlBQ8PD3JzczEYHCeAbN26FU9PT4YMGYJOpyMqKorHHnuMZcuW2b83deXKlezdu5fGjRtz8OBB/Pxub5Vq9+7dqVatGp6ennTu3Jn4+HgAVq9eTffu3WnVqhUajYYOHTrQoUMHVq1aZT/3oYcewsPDAx8fHwDKli1L7969UavVNG3aFC8vL/r164dOp6Nly5ZcuFDYQOvQoQPffvstwcHBpKWlodPpsFqtXL58+bbyXBJyDp/AnJ3rsDDJo1IonlXCyNhxwCm+8vP/odbkUShWq32eYUiPjlzZE4vVkIdn9co0+/VbdAF+mC5lYDMWENCyETp/Hy5v3l1i5SppGTsPEtiqkUNamXZNydgVA4pCxq6DqLRaAppf2+kgoGVDVGo1GbsO3ng5l5Vz9CSWnFwCml8rq75iBTwqhXFlj3M5Kg4aQPiEtwvfL381Pst2eZCs/Yew5uVTkHIRt7Jl0AVdm1+u9tDjUTmMvLgEp+u5ImtqMkpBPrrK1xb0qP0C0fgHYTl/xineln0FTbDjQhZN2QooNhvWzMuFi57UaocV/dqK1UGlclgQ5eqsqUkoBfloK4Xb09R+ZdD4B2E+7/yVhEp2pnO9BIf+VS+XMP9VL9ev6NdWqgEqVeGxUqJG1Up4eug59Oe1zo+UtEukpF2ifu2aTvFjp0znnUmO27GdPHMON52O0HLlmD7hfyyc/hHzp33I/GkfMuqlwm3KJo9+i96dHizewtxFaVegwKxQKfjajYefJ/h7qzh/yblB6ekO/2mvRgUs+M1W5LzRR1uoqRIC3++wcez8fdQoVamL9+FCbjmU365dO8aOHcuyZcv4+OOPCQ0NZcSIEURERDB+/HgOHTpEWFgYVatWBQqH/q+XnJxMUlISjRpd+9CzWq1ERkaiVqtZuHAhM2fO5OWXX8ZsNtO3b1/eeOMN3NxuvcSuTJlrC2+0Wi3KX2MF6enpNGzouCo6NDSU8+ev9WgEBQU5HL++MaxWq+0N1qvPr5bLYrEwceJEey9tVFRUkeW+l2wmM+fnLqHWxBGY0jMxXcog8tOxpG/bx5X9f6DS6dAF+mHOyEIxm8k9GUetj0aSFfMnmbtiqPB4N0L792Bf98EA5Ccko68QQu2PR3P6/Rnow8pT76uPSFywgry4f0+PqUqnwy3QD9Nf9ZL49Q9Uf3MIdWaNI376AoIebEFo/+7s6/ZfoHAhVMryjUTN+YDDz70DKhVRsyeQ9O1qCi6Unh5TxWQm8ZvvCH/vTcwZmZguZ1Dzo9Fk7NxP1sHDqHRadP5+mK9koZgtGM6cI3z8CLIPHeXKvhjKPdKV8o91J+bxwnq59NMWjBcuEjV3Kqfem4piNlN9xIvYjEYufH97C8/uOauFgoPb8HjwUWx5uSh5OXh2HoA54RTWC+dArUHl4YWSbwCbFeP+zXj3G46+ZRdMR/ejCSqH50N9KDi4FUxGFJMR87EYvLo/hWHdQkCFZ7cnMR3Zi5JTilZtWC0YD2zFs+NjKHm52PKy8er8BOaEk1iTi6iXfZvx7v8C+lZdMf25D01QeTw7OtaL6dhBvLo/jWHtQlAV7mtqOrKnVPWYuul0PNL5IWYtWIK/rw/+fr5Mm/s19SNrERnxAGazhezcXHy9vdHptLRr0YT3Pp7Jd6s30LpJQ06di+fzb5bQv1dXPD30eHo4djFmZBa+R8oFBzn1tLoyqw0OnlF4sJ6K/AIFQwF0bqgmIU3hQnrhYJOHG+SbCqctd2qoxsMdlmyxYbGC19VqUMBQAA1rqHggVMX6fTbSrlx3HMgvwGkuqyidbtkwTUxM/D/27js+qmL///jrbMluCgkJkBAIHekiiFKUa1dUuijlpygi96LYr125+rUXBKyogCg2VKyAinrxKirSQekl1ISQAOm72Ww7vz+WGwgbEJUkm5v3We3uHgAAIABJREFU8/E4jwc7O+dkZphsZj9nZg7t27dn1qxZFBcX895773HbbbfRpUsXWrZsycsvv4zdbmfdunXMmzcv7Pzk5GTatWvHxx9/XJaWk5ODYRiUlJSQk5PD5MmTMU2TVatWcdNNN9G2bVsuu+yyP12p1NRUMjLKbwW0e/fucoNRwyg/X+PI10czceJESkpKWLhwIU6nk/z8fD766KM/XdbKsvnh5zHsdrq8PgHDbmPftz+y7vbQxu+JPbvS8+u3WNznanJ/XMqB//zC2lsf5qQHbsKZmkzR+i0sv3wcuT+Ftg8y/X6WD7meDhPH03vxp/jyC8l851O2PBb++LKaLLFXV3oteJtfzh9J7sKleHMOsLTfGDpOHk/vZZ9RsnMPq6+9hwPfLy4757ex4+n4/HhOnzMV0+8n65OvWf/PJ6qxFn9O+pMvYrHZ6PTyUxh2Gwf+8zMb730MgLqnd+W0T99g+eBryVu0jNyFi9l4z2O0umscjpQGFG/ayuqRN5L3SygaH3CXsOKy0Zz04B2cOusVwCB/2SqWDbyGQLHrGKWILCXfzwGLtWw1uW/bOtzz3wdC2z/VGflPit6ehH/XFvzp63B9NBVn70twnnERweLQk588i+aXXc/1xTvE9BlKnWE3YQYD+Dauwv3t7Oqq3p9W8v3nYLUSO2g0WKz40tfhnh+aN2xr0or4kXdQ+PZE/Ds340tfS/HsV4nu3ZfoM/oQLC7Es+pHPD8fekqYa97bxF48nLjhN0MwgHfjStzffFhd1fvTxlx5Bf6An0efm4I/EKBH187c/o9rAVi7aTO3/OtxXnj0Abp26sB5Z/bE6/Ux67N5THvvQxIT4rmiXx+uGhK+RqOm+2GNidUCA3pasBiwba/J1ytCI8i0enDVeVbe+S7Anlxo2xgsFoNrLyy/MioYNHlqdpCOzUJ/p/t2D4/wvbUgQEbk3Lg84WrTHNPfHZguXryY1157jZkzZ9KoUSPi4+OJi4ujpKQEp9OJ1WolJyeHSZMmAaGI4uHOOeccnnrqKWbPns3gwYPJyspizJgx9O3bl9GjRzNu3Dgefvhh+vfvT3JyMoZhULfuX9tYefDgwYwePZpLL72UXr168cMPP/Ddd9/x9ttv/6XrAhQXFxMVFYXFYqGwsJAnn3wSCK93dTMDATbe9zQb73s67L3cH5fyZUz520sZb35ExptHH2AXb9jK0ktHnehiVqvFF1xd7nXuwqV8YW9bLi1/ya/8fMYVR71GwOXmtzH389uY8McI1iRmIMDm/wtFOI+Ut2gZ36Z0KpeW+e7HZL77cVje//JkZLHmH3ee8HJWKTNIyYKPKVkQXk//ri3kPX5DuTTf5l/xbf716NfzleKe9zbueX/9c6hamUFK/v0RJf8O/7zw79xM7mNjy6UdT7u45s6EuTNPdEmrlM1q5aZrr+Kma68Ke69rpw78+Om75dIuPvdvXHzu347r2p07tA07v6YwTViw2mTB6vBw5q598MQHhxZcPjX72Hce31oQOXcmq1wt2i7qdwemQ4YMYfv27QwbNgyXy0WLFi14+eWXsVqtjB8/nm7dupGYmMgVV1zB+vXrSU9Pp0mTQ0+pSEhIYMaMGTzxxBM888wzOBwO+vfvz7hx47DZbLzwwgtMmDCBhx56iLi4OK688krOO++8v1Spbt268eSTT/L000+TkZFBWloaEydOpEuX8KfY/FG33nor9957Lz169KBOnTpccskltGvXjvT09LBnxYqIiIjI8TNMU7t/VacjI5cCl7o3hkUuBfr6NoVFLgUuzF4bFr0USHzglbDopUDS+NfIWR++CLS2S+5wWrnopYTcP+x3NlytIkXP31Gp169z68RKvf4fUXtiwyIiIiIS0SrlkaR/1fr167nyyiuP+v6YMWO48cYbq7BEIiIiItVEc0yrV4cOHVi1alV1F0NEREREqlBEDkxFREREJKQ2bRdVe2LDIiIiIhLRFDEVERERiWQR9tjQylR7aioiIiIiEU0RUxEREZFIpjmmIiIiIiJVSxFTERERkQhmaI6piIiIiEjVUsRUREREJJJpjqmIiIiISNVSxFREREQkghmW2hNHrD01FREREZGIpoipiIiISCQzNMdURERERKRKKWIqIiIiEsk0x1REREREpGopYioiIiISyWrRHFMNTEVEREQimLaLEhERERGpYoqYioiIiEQyo/bEEWtPTUVEREQkoiliKiIiIhLJLLVn8ZMipiIiIiISERQxFREREYlgRi2aY2qYpmlWdyFEREREpGKeWU9X6vWdI+6p1Ov/EYqYVrOfu3ar7iJEnDNXreDblE7VXYyIc2H2Wr6wt63uYkScvr5NFEy4ubqLEXES7nqRXddfVt3FiDhNX/2EjekZ1V2MiNOuVRqPzvJXdzEizr9GRMgwSXNMRURERESqVoR8FRARERGRCtWiOaa1p6YiIiIiEtEUMRURERGJZIbmmIqIiIiIVClFTEVEREQimaX2xBFrT01FREREJKIpYioiIiISybQqX0RERESkailiKiIiIhLJ9OQnEREREZGqpYipiIiISCSrRXNMNTAVERERiWTaYF9EREREpGopYioiIiISybTBvoiIiIhI1VLEVERERCSSaY6piIiIiEjVUsRUREREJJLVou2iak9NRURERCSiKWIqIiIiEsm0Kl9EREREpGopYioiIiISybQqX0RERESkailiKiIiIhLJtCpfRERERKRqKWIqIiIiEslq0RxTDUz/V1ksNLtxHMn9+2ONjSFv0SK2Pfk0vtzcCrPXPaMXzW4cR3Tz5ngy95AxYwb7539d9n5i7zPp8OILYect63MJ3pycSqvGCWex0Pq+W2g0bCDWuFgOfPcTG+97HO++AxVmr3fumbS+9xZiTmpBya4Mdjw/jb2fflX2vr1eIm0evpv6554JhkHuT0vY/NAESrOyq6pGJ1ynlx/GsFlZM3b8UfMkdOtEh0kPkNClPZ7MbLY8MYXMdz4ve98S7aTjpPtpOOgiDJuVrI/ns/6OJwm43FVRhRPDMHD07kdUpx4YUU7829dT8u/ZmO6isKyxw27B1vSkCi9TPOs5AhnpGNFxOM8djK1Fe8DAv2sznv98ilmcX8kVOcEMCwkDRxDX6zwMhxPP+tXkzppKsKigwuyOtp2oO3gk9tQmBArzKf7xG4q++axcnvg+lxF3Vh8scXXw7kon74PX8WXsqILKnDiBQIB333qD7/79NSUlbrp2O53rx91C3cSk3z330Yfux+Px8PjTkwBY8O18Xpg8ocK85194MbfcftcJLXtlMgw4t7OFzi0MHDZIzzL5akUQl6fi/B2aGpzZwUJSHSgugVXpQX7ZaGKa5fNZLXDdRVZ+2RhkzQ6z4otJjaRb+f+jml4/luT+/dj8rwdZc93fcSSn0O7Zij/o6pxyCh1efIHCVav59cqRZMx4g1YP3E+DvpeW5Ylp3ZriDRtZesFF5Q7vvn1VVaUTotVd42g0dABrb7qf5QOvwdEohc6vT64wb8LpXen63ivkLV3JkouGseOF6bSf8BCpl/cvy3Pyq88Q3bQxK4f9gxVXjMHRMJlT3ni+qqpzwrV56Baa/WP4MfNE1U+k+xfTKVy1jh+7X8aOl9+m89THqX/BmWV5Tn7lERLP6MayQWNZNuh66p3VnZNfeaSyi39COc64lKhOPSj58m2KZz2HUacuMQOvqzCv+/PpFE65/7DjAQLZu/Hv2kIgczsAMf1HYUmoh2v2FFyzX8ISl0DMoDFVWaUTIqHfMGJ7nsuBN18ge+K/sNatR/2xd1eY19agIQ1ufICS35aT9ejt5H/6Ngl9hxJ39sVleeL7DiW+z2DyPnydvU/cSSA/lwY3jcdwOKuqSifE++++xXcLvuG2O+7hiWcmc2D/fp56/OHfPW/+l3NZvmxJubTeZ53Lm+/MLndcdc1oHA4nAwZdVllVqBRnd7LQubnB54uDzFwQoE6MweW9rRXmbZVqMLiXhVXpQaZ+FeC7X4Oc0cFC7w7lo4VRNrjibxZSEmtPFBGLpXKPCBJZpfkdGRkZtG3bltyjRP1OhJEjR/L6669X2vWrgmGzkTpiODtffJmCJUtwbdzIpnvvI75rF+qc0jksf+Nrrqbo19/Y/uxESnbsYP/8+WS+OZOmN1xfliemVSvcW7fiO3Cg3BH2NTaCGXYbTf9+FVueeJ7chb9QtGYDa8beRWKPU0k4rUtY/uY3jiJ/2Wo2/+tp3Fu3s/eTL9nx0gxa3XMjANbYGJJ692DHS69TtHYjxes2seP5aSR07YStbnxVV+8viW6RRs9v36Lp2BG4d2YeM2+T0VfgLyhm3e2P49q0jR0vv0Pme3No+c/RADgbp9B4eD/W3vww+Ut+Je/nFfw2djyNhvXF0Si5Kqrz11msOLqdjWfhXPw7NxHMycA9901saa2wNmoRlt30uDFdRWWHvWN3LAn1cM97A8wg2B1Ym55E6dJ/E8zJIJiTSenib7ClNsNwxlRDBf8kq4065/Wl4PN38Wz4Fd/ubex/fSLO1u2Jatk2LLuzY1dMr5fCL2cT2J9NycpfKFm7AmeHrgAYDifxFw0i76M3KPl1Kf7sPeS++yr4fUQ1bVnVtfvTfD4fcz//hJHXjKbLqafRqnUb7rx3PBvWr2XD+nVHPS9rTybvzHydtu07lEt3OBwkJiWVHaWlHma//x7Xjrme5i1aVXZ1ThiLBbq3NfjutyDb95rszYNPFgVo2sAgrX54/m6tDTbsNlm+xSSvGDbsNlmyMcgpLQ8NVVqkGPz9Yitxzlo0KK1latTAVI5PbNu22OLiKFi+vCytNCsLT2Ym8V27huWPbtqEwlWryqW5Nm3C2bgxUQ0bAhDTuhXu7dsrt+CVrE6ndtjqxJG3aFlZmmf3Hkp2ZZDY89Sw/DEtmpG/ZGW5tKI1G4humoazcUOCpV4CLjeNhoamBVhjokkdOgD3tp34C8Jv90aypF6nUpKRxY9d+1OyI+PYeXufxoGflpX7UnLgh6UknhFqw8Rep2IGg+QtOtR2eYtWYgYCJJ3ZrXIqcIJZk9MwHNH4d28pSzMLcwnmH8CaduyBgRFbB2evPnh+nIfpOtgPAj7wlhLVsTtEOcEehb1jdwJ5OZieksqsygkV1aQ5lugYPJvXlqUFDuzDvz8bR+sOYfmDRYVY4+oQc1pvMAzsjZribN0B786tADhatcew23Gv/KXsHNNTwp7xN1C6ZX3lV+gE2b4tnZISN506H/qCm5LSkOSUhqxf91uF5wQCASZPfIrLLh9OkybNjnn9N2dMpVnzFvS5pO8JLXdla1gXHHaDnTmHPisKXJBXbNK0QfjA8sd1QRauDZZLM01wRh16fVJjgzU7grzxbaDSyh2JTMOo1COSVNsc02AwyBNPPMGXX36JaZp06NCBBx98kIYNG/LMM8/w448/kpOTQ1JSErfddhsDBgwIu8bWrVt57LHHWLduHfXq1eOGG25g4MCBAHz33XdMnDiR7OxsUlNTue666xg0aNAfKqPb7WbSpEnMnz8fv99Pz549uf/++0lODkV9Zs+ezSuvvILL5eLCCy9k69atDB06lMsuq95bLVEpofIdeZvdu28fjpSUsPzeffuIOiLdkdoodK2kRLw5OUQ3b05c+/Z0+WAW9sREitatY+dzL1Cyc2cl1eLEc6aGBtmlWeXnxJbu3YejUcOw/KXZ+3Aeke5scrBd6tfDk7mXdbeMp/2zD3Hull/ANPHuO8CygdfUqEgyQOZ7c8h8b85x5XWmNaRwdflBQ+meHGyxMdjrJeJMS8Gbk4vp95e9bwYCeHNyiU5LPaHlrixGnboAYfM/g64CLHUSj3muo/uFBN1FeH/96bATg7i/epfoi4YTf8vTYILpLsI16zmg5vQVa916AATyyt+1ChTkYUuqF5bfveoXin/6N/VG30a9a2/FsFpxLf+Zwq8+AsCWkkqwqBBHizYk9B+BrX4y3t3byfvoDfxZx/6CFEkO7A991tarVz4MmJRUj/1Hme708YezMDAYNGQoL78w6ajX3r4tnV9+/pFHn3wWS4Tdcv098TGhAU/REVPLi0v++175vp91xM3QKBt0O8lCetahfN+sLD9wlf891dbLv/32W3755Rfmz5/PwoULSU5O5oUXXmDGjBmsW7eO2bNns3LlSkaNGsXDDz+Mz+crd77L5eLaa6+ld+/eLFq0iGeeeYann36apUuXEggEuPvuu7n//vtZvnw59913Hw8//DAFBRVPzj+aBx98kLVr1/Lxxx+zYMECoqOjufHGGwkGgyxbtownnniibBDdsGFDVh0RdawuVqcTMxAoNzAACHp9WByOsPw5X3xJ/Ysuot6FF4LVSmzbtjS++ioADLsdZ1oaVqcTS5SdrY88xsa778Vij6LTjOnYE4/9RzqSWKKP1i5erM7wdsmaPZeUgX1IGdAHw2qlTqd2NBs3Cgi1C0DMSS0o3riFFZeNZvmgUbjSd3LKm89jja1Bt2f/IGu0k4DHWy4tWBp6bXVGYY2OJuApDTsvWOrFUkE7RyLDbscMBiF4xB9Bvx/Ddozv83YHUSf3xLt0QdiXE2tSCsH9e3C9/yKu958nmJtDzKC/g71mtAmAEeXADAYgWD5aZfp8GLaosPyW6Fhs9RpQ+M1n7H3qbg688QLO9p1J6Ds09L4zBsMZTeKw6yj86iP2vfwEZqmHlDsewxJXc6bDlJZ6sFgs2I7oG3a7Ha/XG5Z/65bNfPbpbG67457fHWzO+exj2rZrT+dTwu92RTq7DYJBk+AR3738QRNbxdNMy9isMPQsCzYrfLdag1EMS+UeEaTaSuNwOMjKyuLjjz8mMzOTxx9/nIkTJzJixAimTJlCnTp1yMrKIjo6muLiYlwuV7nzf/jhB2JiYhgzZgx2u53OnTszZMgQPvjgAwzDwOFw8Omnn7JkyRJOP/10VqxYQUJCwnGXr7S0lPnz53PnnXeSkpJCbGws48ePZ926dWzevJnPPvuM/v37c9pppxEVFcW4cePKIqnVLVhaimG1grX8b74lyk6gJPy24b55X7B72jROevj/OGPJL7SbOIHMt98BwF9UjGfXLpacfS4bbr+D4nXrKFq9mo133oVhWGjQr+bcWgp6PBhWa6htDmOJiiLgDm+XrNlz2DbxVTo+/xjn717JKW88x85XZgLgLyqibo9TaX3PTay94R7yfllO/tJV/DrqFpyNU2k0/I9F52uSgMeDxVF+EPLf135XCYGS8Pf/myfgrhmr8k2/D8NSwQe2zYbpCx9o/Jf9pJPBsOBdv6xcurVxKxy9++KeN5NAxlYCmdtwfTYNS3wiUZ16VEYVKoXp82JYrGGLJQy7HdMbvsy67mUjMYNBCj57B9/u7biWfE/+xzOJv/gyLLFxmIEAFoeT3PemUrJmOd6dW9k/4zkwTWJ7nF1V1frLoqIcBINBAoHyA3afz4fTWX4Rl9frZfKzT3LlyGtJbdT4mNf1er0s+nkhF13c74SXuSr4/GCxGGE7HdksBl5/xecAREfBVedaSU00eO/7AAU142OjctWigWm13co/55xzePDBB/nggw+YOHEijRs35u6776Zt27Y88sgjrF69mrS0NFq0CC00CB4RucjMzCQjI4PTTjutLC0QCNCxY0csFgtvvfUWL730Erfccgs+n48rrriCO+64g6io8D+YFSkoKMDn85GWllaWFhsbS2JiIllZWezdu7fcz7ZYLKSmRsZtytK9oa2KourXx5t9aNuiqAYN8Ob8UOE5GdOmkzHjjdCt+337STr7LEy/n9KsLAD8hYXl8gc9HjyZGRVODYhUnj17AYhKaUDpwX8DOBo2wDO/4u2dtk9+jR0vTCeqfhKl2fto0Occgn4/nt17qH/+WZRm76M0+9CtOn9hEe70ncS0aFq5lalGnt17caY2KJfmaJSMv8iFv6AIT8ZeHMlJocHLwd9bw2olKjkJT2bN2FrMLAzdwjfi4jGLDt3Ot8Qm4DvG9k721p3xbVsHRwxerY2aY7oKMF2H/R6VlhDIzcGS2ICaIpC3HwBrQiKBvENbrFkTEvHnhy9KjWrRhpLV5Vece7dvwbDZsSY1IJAfuoYv87ApQX4f/gM52OrXnM+W+g1CQYnc3AM0aHAoQJGbeyDs9v7mTRvI2L2Lt96YxltvTANCA1jTNBl2WV9eenUGDZJDdf9t9Ur8Pj89z+hdRTU5sQrdoVBpnWgoPGxwGRcNRSUVT2FJiIUrz7ESZYeZCwLk1LDd1OSvq7Zh8u7du2nfvj2zZs1i8eLFDBkyhNtuu4377ruP1NRUfv75Zz755BNGjx5d4fnJycm0a9eO5cuXlx1ff/01kydPpqSkhJycHCZPnszixYuZPn06c+fOZd68ecddvvr16xMVFUVGxqF5TsXFxeTl5VG/fn1SU1PJOjhoAzBNk71791Z0qSrn2rwZf3ExCd0OLehxpKbibNyYgpUrw/I3HDaUFnfeAYEA3n2hPzxJ55xD4W+/ESwpIemcc+j500JsiXXLzrHGxBDdrBnu9G2VX6ETpGjdJvxFxST2OvSFwtmkEdFN08hfvCIsf5PRI2jz6D2YgUDZ4LPBJedTsGw1AXcJpVl7iWpQD3v9Q/sUWqKdRDdLw72t5sy9/aNyf15BUu/TyqXVO6cHuYtWgmmSu2gFhs1GYq9Dtx4Tz+yGYbGQuyi8nSNRYF8mZmkJtiaty9KM+CQsdesR2J1+1POsaa0I7Noclm4W5WPExGPExB1KtNmx1K1PMK/mbLnmzdhBsMSN46SOZWnWeg2w1U+pcLFSIO8A9sbNy6XZGzXFDAbw79tLafoGAKKaH9bO9ihs9Rvi3xcZn6fHo0XLlkRHx7Buza9ladnZe8nJ3kvHk8vvhHJSm3a8Ov0tnntpatnRs1dvWrVuw3MvTSXpsIHsunVraNW6NXFxcdRE2flQ6jNplnwoZJoQC4lxBrtywgemMQ4YeZ4Vw4A3v9Wg9HC1afFTtQ1MFy9ezI033khmZiaxsbHEx8cTFxdHSUkJTqcTq9VKTk4OkyaFJoX7j5gXeM4557Bnzx5mz56N3+9n9+7djBw5klmzZhEIBBg3bhxz5oQWcyQnJ2MYBnXr1g0rx9FYLBYGDRrEs88+S3Z2Ni6Xi8cff5yWLVvSqVMnhgwZwrx581i5ciU+n4/p06eTnR0Zm6qbPh97Z39E89tvo+4ZvYht1462Tz1JwfLlFK9Zi2GzYa9Xr2yuXMmOHTQcOpQGl16CIzWVxqOvpUHfS9k15RUAClaswO9y0ebRR4k5qXXoes88jS8vn5wvvqjOqv4hptfH7jffp83/3Um9c8+kzsntOfm1CeT+vIyCFb9h2G1ENaiHYQ+1i2vrdppcO5yGQ/rhbNKI5reMIXVIP9KffgmAfV9/j2fPXjpPfZY6nTsQ1/4kTp7yNEGPhz0fHt9CoprAsNtxpNQvm1e7+42PiGqQRKcpDxPXriXNb7yKxsP7se3Z6UBoIVTW7K/o/NrjJJ5xKolndqPzq4+S8e7nlO6pGRFTAn5KV/+E85zB2Jq3x5KcRkz/UaF9SbN2gMWKEVsHLIemhRix8Vhi4wns2xN2OV/6GsyiPGL6X4slpQmW+qnE9LsG/F6865ZWXb3+Kr+foh/mkzjkGpwdumJv0pL6192BZ/NavNs3g9WGJb4uWEO/Q0X/+YLok7sRf8nlWOun4Dy5G3WvGEXxD19jekoIHNiHa/H3JP2/sTjadcaW0pikq2+EYBDXkorv7kQiuz2KS/oN4I3XX2Pl8qWkb93Ms089RqeTT6Ftuw74fD7ycnPx+Xw4HA5SGzUud0THxJSlWw+barQtfSvNmtecbbOOFAjC8i0mF3Sx0CrVoGEiXHaGlR3ZJpkHQjdVYp2HZoZccpqFGEdoSylfIPTefw+pPartVv6QIUPYvn07w4YNw+Vy0aJFC15++WWsVivjx4+nW7duJCYmcsUVV7B+/XrS09Np0qRJ2fkJCQnMmDGjbAGSw+Ggf//+jBs3DpvNxgsvvMCECRN46KGHiIuL48orr+S88877Q2W89957mTRpEpdffjlut5uePXsybdo0DMOga9eu3Hnnndx66614vV4uvvhiGjVqhP3gH+/qtvPlKRg2G20eewzDZiN/0SLSn3oaCG2of/L0qawZ8w8KV6ygYMlStj35JE3GjiWqQQPc6VvZcOvtFK4IRVcDRUWsu/4Gmt96K52mTcWwWslfsoS1Y6/HrGBifyRLf/JFLDYbnV5+CsNu48B/fmbjvY8BUPf0rpz26RssH3wteYuWkbtwMRvveYxWd43DkdKA4k1bWT3yRvJ+CW3DFXCXsOKy0Zz04B2cOusVwCB/2SqWDbyGQLHrGKWoWRJ7daXXgrf55fyR5C5cijfnAEv7jaHj5PH0XvYZJTv3sPraezjw/eKyc34bO56Oz4/n9DlTMf1+sj75mvX/fKIaa/HHlf44D8NiJbrv1RhWK77tG/D8+0MArI1bEDf8Vorff57A7tDWR0ZsaLGO6algQpzPS/EHL+A8exCxQ24AAwKZ2yme9TxUMDczkhXMeQ/DaqPe6NAq+5J1q8mbNRUAR6u2pPzzUbIn/YvSzevwrF3J/teeIf7Sy4nvMzj05KeF31A4/5Oy6x14Zwp1B15J/WtvxYiOwbttEzmTHyToqllbrl119WgCfj+Tnn2SgD9Q9uQngI0b1jH+3jt47KmJnNw5fM/ko8nLPUDLVq1/P2ME+89vwVCgp5cFi3HwyU/LQ1N8mtQ3uPp8K28tCJB5wKRdmoHFYjCmT/mhSTBo8vgHtWt7qDARNg+0MhmmWcP2tYkQ27Ztw2az0bTpobmEPXv25Nlnn6V37+OfD/Rz15qxr2NVOnPVCr5N6VTdxYg4F2av5Qt7+CbmtV1f3yYKJtxc3cWIOAl3vciu62vWU4KqQtNXP2Fjes246x4wAAAgAElEQVTZiqqqtGuVxqOzjrEiqZb614jIeHK7e+GHlXr9mLOGVur1/4jaMwQ/wTZu3Mh1111HdnY2wWCQt99+m0AgQJcux/9tWEREROR3GUblHhEkMr4KVJH169dz5ZVXHvX9MWPGcOONNx7XtS655BI2bdrEkCFDcLlctGnThqlTp9bYSeoiIiIi1a1WDUw7dOhwwjbBNwyD22+/ndtvv/2EXE9ERESkQjXsqV9/Re2pqYiIiIhEtFoVMRURERGpaSJtr9HKpIipiIiIiEQERUxFREREIlkt2se09tRURERERCKaIqYiIiIiEcxUxFREREREpLxNmzYxfPhwunTpwsUXX8wPP/xQYb7i4mLuvfdeunfvTo8ePXjwwQfx+Xy/e30NTEVEREQiWYQ8+cnr9XLDDTfQp08fli1bxl133cVtt91GZmZmWN7777+fwsJCvvvuO7788kvWrl3LjBkzfvdn6Fa+iIiIiPyuJUuW4PF4GDVqFIZhcP7559O9e3fmzp3L9ddfX5YvJyeHBQsW8MMPPxAXF0dcXBxTpkwhEAj87s9QxFREREQkgpmGpVKP45Wenk6rVq0wDouytmzZki1btpTLt2HDBlJSUpg7dy7nnXceZ511Fu+++y4pKSm/+zMUMRURERGpxQoLCyksLAxLj4+PJz4+vuy12+3G6XSWy+N0OikpKSmXlp+fz969e9m6dStz584lNzeXsWPHEhsbWy6yWhENTEVEREQiWSU/+WnmzJm89NJLYek33XQTN998c9nrmJgYPB5PuTwej4eYmJhyaVFRUQQCAe666y5iY2OJjY3l6quv5sMPP9TAVERERKRGq+Ttoq655hoGDx4cln54tBSgVatWTJ8+vVzatm3b6Nq1a7m0li1bAqHFUv91PPNLQXNMRURERGq1+Ph40tLSwo4jB6Y9evTAarUydepUvF4v3333HUuWLKFv377l8rVt25ZOnTrx9NNP43a7ycjI4K233qJfv36/WxYNTEVEREQimGkYlXocr6ioKKZNm8b3339Pz549mTBhApMnT6ZJkybMmTOnXOR02rRpAFxwwQVcfvnlXHDBBVxzzTW/+zN0K19EREREjkubNm147733wtIHDBjAgAEDyl4nJSUxceLEP3x9DUxFREREIpkeSSoiIiIiUrUUMRURERGJYCaVu11UJFHEVEREREQigiKmIiIiIhHsjzw2tKarPTUVERERkYimiKmIiIhIJFPEVERERESkailiKiIiIhLB/sjTmWo6RUxFREREJCIYpmma1V0IEREREalY7m8/Vur1kzr/rVKv/0foVn41K3j21uouQsRJuPN58h6/obqLEXESH3iFggk3V3cxIk7CXS/yhb1tdRcj4vT1bWLziIuruxgRp82s+Qy8YVN1FyPifP5KWwaN21zdxYg4n01pU91FqHU0MBURERGJZJpjKiIiIiJStRQxFREREYlgevKTiIiIiEgVU8RUREREJIKZaI6piIiIiEiVUsRUREREJILVpjmmGpiKiIiIRDJtFyUiIiIiUrUUMRURERGJYGYtiiPWnpqKiIiISERTxFREREQkgpmaYyoiIiIiUrUUMRURERGJYLVpu6jaU1MRERERiWiKmIqIiIhEMD2SVERERESkiiliKiIiIhLBNMdURERERKSKKWIqIiIiEsG0j6mIiIiISBVTxFREREQkgmlVvoiIiIhIFVPEVERERCSCaVW+iIiIiEgVU8RUREREJIJpjqmIiIiISBVTxPR/lWHg6N2XqI7dMaKc+HdsoOTfH2G6i8Kyxg67CVuTkyq8TPH7LxDISMeIjsV5zmBsLdoD4N+9Bc9/PsUsLqjUapxwhoHz7AE4TumFEeXAl74e99fvY7rC2wXA1qwt0ecNwlo/laCrkNKVP1K6+NvDMtiJuegK7G27gsWCb8NK3N9+BL7SKqrQCWIYOHr3I6pTj1B/2b6ekn/PPkp/uQVb06P0l1nPHewvcTjP/W9/MfDv2nywv+RXckUqR6eXH8awWVkzdvxR8yR060SHSQ+Q0KU9nsxstjwxhcx3Pi973xLtpOOk+2k46CIMm5Wsj+ez/o4nCbjcVVGFE8ewUH/YNcSfdSGW6Ghcvy4n542XCRRU/H8b3fEUGgwfTVRaM/wFuRQs+JK8uR+VvW9NSKTB1WOJ6dQFTJOixQvZP2sGZmnN+h2yGHDlgPqc1yuBaIeFVetdvPp+NgVFgQrzt27qYMzQFFo2cXAg38+HXx7gP0sKy97v1jGWB29KCztv9H3pHMj3V1o9TjSLAf9vQH3O6xlf1i6vfZBz1HZp1dTBmCuSD7XLVwf4fkn5z6EhfRLp07su8XFW0nd5mD57H9szalZ/+aNq0xxTDUz/RznOuISojt0p+epdgiUuoi+4gpgBo3G9/3xYXvfnM8BiPZRgGMRe9g9Mr4dA5nYAYvpdA1Y7ro+mgAnR519OzKAxuN6ZWFVVOiGcZ/XD0bknrjlvYpa4iLl4BHFD/kHRW+H1sCQ2IG7YODyLvsb16etYGzYhtv814PNSuuIHAGIuvRJbw6YUfzAFw2olpt9IYi79f7g/f6Oqq/aXOM64lKhOPSj58u1Qf7lwKDEDr8M167mwvO7Pp4P1sP6CQeyQ6zFLD+sv/UeB1YZr9hTAJPr8Kw72l2erpD4nUpuHbqHZP4aza8bso+aJqp9I9y+ms+f9efz2jwdocMEZdJ76OKV797P/3z8DcPIrj5DQtSPLBo3FsNk4ZdoTnPzKI6y++s6qqsoJUe/yq4g/6wL2vjKBQFERyaNvpNFt/2L3w3eE5bWnpNL4rofJnfMhRS8+iaN5axrecCdBTykF384Fq5W0+58A02TPxEcwvV6SR91Aozv+j8wn7quG2v15w/vV47yeCTz3ZhZFrgDXj0jh3n804r6Ju8PyxsdZeejmJixcVsiLb++lS/sYbhrZkLxCP6s3hL6oNGvsIH2Xh0dezih37tEGdJFqeN96nNcjnudn7qXIFWDs8GTu+Xsj7p90lHa5KY0flxfy0jt76dI+lpuuakh+YaCsXYZdmsSA8xJ54e297M7yMrxvPf41rjHjHt6Op9Ss6upVGd3KF8aMGUPXrl3p2rUrnTp1omPHjmWvR44cyQMPPFDheVdffTUTJ1bzYM1ixXHq2Xh+nId/5yaCORm4583EltYSa6PmYdlNjxvTXVR22DuejiWhHu65M8EMgt2BtelJlC79N8GcTIL7Mild8i22hk0xnDFVX78/y2LFefq5lHz/Of7tGwns3Y3r0+nYmrTG2rhlWHZ7qw6YPi+en74kmL8f38ZV+LauxdayAwBGnbpEdTwd9/xZBPZsx797K+4v3iGq42kYdRKqunZ/nsWKo9vZeBbOPdRf5r6JLa0V1kYtwrKbHjemq6jssHfsHuov896ooL9kEMzJpHTxN9hSm9Wo/hLdIo2e375F07EjcO/MPGbeJqOvwF9QzLrbH8e1aRs7Xn6HzPfm0PKfowFwNk6h8fB+rL35YfKX/Erezyv4bex4Gg3ri6NRclVU58Sw2qh78UD2v/8m7jWrKN2xlawXniK6XUecJ7UPyx57ymmYXi+5n7yHL2cvxUt/wrV6KbGndAu937U7jqYt2PPcY3g2rz94vSeJ6XgK0e1Prura/Wk2K/Q/N5G3P9/HrxvdbNtdyrPT99ChdQztWjrD8l94ZgJuT4Dps3PIzPbyxff5/LCkkEEXJJXladooip17SskvDJQ7zBo09rJZod+5dXlnzv6ydpn4ehYdWkfTtsJ2iT/YLvvIzPaF2mVpIYMuSATA6TAYfGESMz7ex5JfXezJ8fHKrBx8fpNWTcOvJzWTBqZHMX36dFatWsWqVasYOnQo/fv3L3t95ZVXMn/+fEpKSsqds3PnTpYvX87w4cOrqdQh1uTGGA4n/t1by9LMwlyCBQewprU65rlGTB2cPS/C89MXh27jBnzg9RLVqTtEOcAehb3j6QTy9mF6So55vUhibZiG4YjGv3NzWVqwIJdA/n5sTVuH5Q+6irHExGHvcBpgYGnQCFvT1gSydgJgS2sJpok/I73sHP/udAia2NLCrxeprMkH22X3lrI0szCXYP5x9JfYOjh79cHz47xD0yECPvCWEtWxO0Q5D/aX7gTycmpUf0nqdSolGVn82LU/JTsyjp2392kc+GkZh48aDvywlMQzTgUgsdepmMEgeYtWlr2ft2glZiBA0pndKqcClcDZvCXWmFjc638rS/Pvz8aXs5fodp3C8vsLC7DWiafOGeeAYRCV1ozodp3wbAv9DkY1bIw/Lxff3j2HzsndT6CosEYNTFukOYmJtrJ286FpGTm5frL3e+nQOvzLWIfW0azbUlJukLlmi5v2raLLXjdr5CAjy1up5a5sR28XHx0Oq+t/dWgVw/oj2mXt5hLatQzlbd8qGrvdYNGq4rL3SzxBxj64nXVbas5ny59hGpZKPSKJbuX/CRdccAGPPfYYX3/9NYMGDSpL/+ijjzjrrLNo3LhxNZYuFMkDwubzBYsLsBx872gc3S8g6C7G++vPh50YxD3/XaIvHEb8zU+BCaa7CNf7LwA15+u7pU7oW3ewqHy7mEUFWOITw/L7Nq6idPXPxA66FgaOwrBY8a5fjuenr8quZ7qLIBg87GJBTHdRhdeLVEftL66CsjY7Gkf3Cwm6i/D++tNhJwZxf/Uu0RcNJ/6Wpw/1l1nPUZP6S+Z7c8h8b85x5XWmNaRw9fpyaaV7crDFxmCvl4gzLQVvTi6m/9DcQDMQwJuTS3Ra6gktd2WyJTUAwJ+3v1y6P+8A9noNwvIXL/2Jgu/m0/DGu2k47i4Mq5WiX34g99NZZedZ4uIwHI6yOaWGMxprXB1s8cf+rIok9RJDf0qPnPuZWxCgfmL4n9n6de1s311+TmRuvh+nw0KdWCsud4DGKVG0aurkuQeakRBnY8vOEmZ+Gook1hRHbxc/9RPtFebfluEJyxtqFwuNkqMoLArQprmT/9e/Hin17GzbXcqMj/eRsbdmD+LlkMgaJtcQNpuNyy+/nE8//bQsze/38+mnnzJixIhqLFmIYYvCDAbLD5gAAn4Ma/iHQRm7g6iTe+BduoAj7xdZk1II7s/C9cFLuD54kWBeDjEDrwO7oxJqUDkMe8XtYgb8GLbwdjGc0VgS6lH6y7cUzXgK15w3sbVoj/Osvoeu5w//I2H6K75epDLs9or7i9+PYTvGd1e7g6iTex6jv+zB9f6LuN5/nmBuDjGD/l6j+ssfYY12EvCU/8MYLA29tjqjsEZHE/CEL84IlnqxOGtOmxgOB2YwAIHy8xxNvw/DHhWW3xIbh61BCnlzZ7Nr/C1kTZlAzMmnUm/IlQC4Vi8jWOImZcytWGJisUTHkHLdzaH+dKy+F2EcURYCQZPAEb9CPn+QKHv43EBHlIHXZx6RN/Q6ym7QsIEdR5QFu93g5XeyeWb6Huw2C0/c0ZSEOtaw60UqR5RxlHYxK24Xu4HvqO1iIcZpIdpp4e9Dk/lofi6PvZJJqTfIE/9sQnxczWmXP8PEqNQjkmhg+icNGzaM5cuXk5kZmnv2/fff43Q6Oeuss6q5ZAf/SFgscGR43mrD9B39W6W99clgseDdsLz8aY1b4jjzUtxfvEUgI51A5jZcn72OJT4xdHu/hjB9FbeLYbVhesMHDdHnDYZggJL/fEYgOwPvmiWULPgY5xl9MKJjMf1eDGv4H0/DZsOsQavyj9pfbL/TX046GQwL3vXLyqVbG7fC0bsv7nkzCWRsPdhfph3sLz0qowrVLuDxYHGUH5j997XfVUKgJPz9/+YJuGvOqnzTW4phsYLliN8hm51gqScsf4MR10EwwP7336B0RzpFPy5g37vTSBo4DEtcHYKuYvY8+zDOVm1oNW02Lae8h//APkp3biNYg9rF6wtitRhHNgt2m6XCBTmlPhP7EQMzuy302uMNsifHx5V3bOGJVzPZstPDhvQSnnwtE4sB53SPr7R6nGher3mUdjHweIPh+X0mNttR2qU0iD9g4nRYePX9bJatcbF1ZymT3tiLaZqc071OpdVDqpYGpn9Samoqf/vb38qiprNnz2bYsGEYRvV/8zCL8gAw4sp/gFniEggeY7see+tO+NLXwRGDEWuj5piuQkzXoa1MKC0hkLcPS93w23eRKliUC4ARV35hklEnIez2PoCtcQv8WbvKpfkzd2BYbVjiEwkW5mHE1oHD/88NC0ZMnQqvF6nMwlBZw/pL7O/1l874th2tvxSE95fcHCyJNae//BGe3Xtxppavm6NRMv4iF/6CIjwZe3EkJ5Ub0BlWK1HJSXgyc6q6uH+a/8A+AGx1k8ql2xLrhd3eB3Ce1A7Pti3l0jxbN2HY7NjrhxZ9ebZsYMc/x7DthhGk/2Mo+99/A3tyQ3w5e8KuF6n254ZuVScllP+impRgrXBrp/15PhLjy0f4kuraKPEEcZeEBmzF7mC5GxFen8ne/T7qJ9WcSPL+vKO1i43cCtvFX2HeEk8QtydIbkHonJ2Zh774+/wm2Qf8pNSvOXep/gzTMCr1iCQamP4FI0aM4LPPPiM7O5ulS5dy+eWXV3eRAAjsy8Qs9ZRbgGPEJ2FJqEfgsIU6R7KmtSKwa0tYulmUjxFTByMm7lCizY4loR7B/H0ntOyVKZCdiVlagr3ZoT04LQlJWOvWx79ra1j+YGE+1uTy84WtDRphBoME8vaHFj1ZLOVW9NuatALDKLcgKtKF+ksJtiZH9Je69Qjs/r3+sjksPdRf4sP7S936BPNqTn/5I3J/XkFS79PKpdU7pwe5i1aCaZK7aAWGzUZir65l7yee2Q3DYiF30YqqLu6fVrpzOwG3i+gOncvSbPVTsCc3pGTD2rD8/gP7cTQtv7NDVFozzGAAX3YW9oaNaPLQRCyxcQQKCzB9XqLbdcISG4t7zapKr8+Jsj2zFHdJgI4nHVrolJxkI6V+FOu2hkd+N6SXlMsLcHKbGDakhxb+9Dgljvcnn1Tu9nS0w6BRchS79tScuZSH2uXQQqdQu9grXKy0Ib2EDq3LL4o6uU10Wbts2Bo656Rmh1bgR9kNGta3s3dfzZl7K8emgelf8Le//Q3TNHnmmWe48MILSUyMkAUvgQClq3/Cec5AbM3bYUlOI6bfNfh3bwmtKLdYMWLqlNu71IiNxxIbT2B/eJTCl74WsyiPmH6jsKSkYamfSkzfq8Hvw7tuaVXW7K8J+CldsZDo8y/D1rJDaF/SwWPw7dxMYM/2ULvExpe1i2fZd9hP6oTzzEuw1K2PvXUnYi68PLSHqdeDWVSAb/1KYvuNxJrWEmtaK2L6XoV3zRLMohr04IGA/2B/GYyteftQf+k/Cv+uLQSydhxsl6P0l30V9Zc1of7S/1osKU1C/aXfNeD31qz+cgyG3Y4jpT6GPRSl2f3GR0Q1SKLTlIeJa9eS5jdeRePh/dj27HQgtBAqa/ZXdH7tcRLPOJXEM7vR+dVHyXj3c0r31JyIqen3UfDtPBpcOYaYU7rhaN6a1Fvuxb3+NzxbN4LVhjUhEQ5Occmf/xmxXbuTNHgE9uSGxHbtTvLIf5D/7TyCJW58+7KxJdUjedQ47CmpRHfoTMOb7qHgP1/jy86q5toeP7/f5KuF+Vx7WQO6doihZRMHd45pxJrNbjZv92CzQt14K7aDv0Lf/lxAfJyVG/5fCmkNo+h7Tl3OOj2eT74N3dVZu8WN2xPg9lGpNGvsoGUTB3f/vTFFxQG+P2wT/kgXapcCRg0+1C53XJfK2s1uNu+ooF0WFZAQZ+WGEcll7fK30+P59GC75OT6+X5JIdePSKFz2xgap9i56aoUgqbJ90trTrv8GaZpVOoRSWrOPYEIZLFYGDZsGBMnTuSDDz6o7uKUU/rTFxhWK9GXjsSwWvFt34BnQehpK9bGLYgbdjPFH7xI4OCWUkZs6Dau6algXpfPS/GHL+E8eyCxQ64HDAKZ2yh+/3moYG5mJCv5fg5YrMQOvBbDYsW3bR3u+e8Doe2f6oz8J0VvT8K/awv+9HW4PpqKs/clOM+4iGBx6MlPnkXzy67n+uIdYvoMpc6wm0JRoI2rcH979I3YI1Xpj/MwLFai+159qL/8+0PgYH8ZfivF7z9//P3lgxdwnj2I2CE3gAGBzO0Uz3oevOHzEGuixF5d6bXgbX45fyS5C5fizTnA0n5j6Dh5PL2XfUbJzj2svvYeDny/uOyc38aOp+Pz4zl9zlRMv5+sT75m/T+fqMZa/Dn7P5wJNhupN94NVhvuX5eT/cbLAES36UCTB59h9yN3U7LhN1yrl7Fn8qPUGzyCpAFD8efnkb/gS3I/P/h5GQiQOeEhkkfdQLOnphBwFVO48N8c+Ojtaqzhn/POnP1YrQb/vDYVq9Vg1ToXr74f+tLRrmU0j/+zKQ9M2sXaLSUUFAV4+KUM/j40mcn3N2Nfrp/nZ2axZlPo98nlDvLg8xlcM7gBj9/eBKsFVm90M/653WWLgWqKd+fux2aF20elYrXCqvVuXns/Gwi1y2O3N2H85N2HtUsmY4YmM+m+pgfbZS9rNh+Krr70bjZXDajH7aMaEhNtYdM2D/96LoMiV/icVamZDNOsSdv1/u8pePbW6i5CxEm483nyHr+huosRcRIfeIWCCTdXdzEiTsJdL/KFvW11FyPi9PVtYvOIi6u7GBGnzaz5DLxhU3UXI+J8/kpbBo0Ln5pT2302pU11FwGALek7K/X6J7VqVqnX/yN0K19EREREIoJu5YuIiIhEsEjba7QyKWIqIiIiIhFBEVMRERGRCKaIqYiIiIhIFVPEVERERCSCKWIqIiIiIlLFFDEVERERiWCKmIqIiIiIVDFFTEVEREQiWKQ9z74yaWAqIiIiEsF0K19EREREpIopYioiIiISwRQxFRERERGpYoqYioiIiEQwRUxFRERERKqYIqYiIiIiEaw2bReliKmIiIiIRARFTEVEREQiWFBzTEVEREREqpYipiIiIiIRTKvyRURERESqmCKmIiIiIhFMq/JFRERERKqYIqYiIiIiEUxzTEVEREREqpgipiIiIiIRTHNMRURERESqmCKmIiIiIhGsNs0xNUzTNKu7ECIiIiJSsWWb8iv1+qe3rVup1/8jFDGtZsWv3lfdRYg4cdc/Se5jY6u7GBEnafxr7Lr+suouRsRp+uonbB5xcXUXI+K0mTWfL+xtq7sYEaevbxO9+/9Q3cWIOD/NPZtLR6+p7mJEnC9nnFzdRQBq1xxTDUxFREREIliwugtQhbT4SUREREQigiKmIiIiIhGsNt3KV8RURERERCKCIqYiIiIiEaw2bReliKmIiIiIHJdNmzYxfPhwunTpwsUXX8wPPxx7l4tgMMhVV13FI488clzX18BUREREJIKZplGpx/Hyer3ccMMN9OnTh2XLlnHXXXdx2223kZmZedRzXnnlFVasWHHcP0MDUxERERH5XUuWLMHj8TBq1Cjsdjvnn38+3bt3Z+7cuRXmX7VqFV988QUXXnjhcf8MzTEVERERiWCVPce0sLCQwsLCsPT4+Hji4+PLXqenp9OqVSsM41B5WrZsyZYtW8LOLS4u5t5772XChAm89957x10WDUxFREREarGZM2fy0ksvhaXfdNNN3HzzzWWv3W43TqezXB6n00lJSUnYuQ899BADBw6kc+fOGpiKiIiI/K8ImpV7/WuuuYbBgweHpR8eLQWIiYnB4/GUS/N4PMTExJRL++yzz9izZw/PPPPMHy6LBqYiIiIitdiRt+yPplWrVkyfPr1c2rZt2+jatWu5tLlz57Jx40Z69OgBUDaYzczM5LXXXjvmz9DAVERERCSCRco+pj169MBqtTJ16lRGjRrFTz/9xJIlSxg/fny5fK+//nq51/feey8xMTE8+OCDv/sztCpfRERERH5XVFQU06ZN4/vvv6dnz55MmDCByZMn06RJE+bMmRMWOf0zFDEVERERiWB/ZK/RytamTZsKFzMNGDCAAQMGVHjOU089ddzXV8RURERERCKCIqYiIiIiEcys5FX5kUQRUxERERGJCIqYioiIiESwYISsyq8KipiKiIiISERQxFREREQkgkXSqvzKpoipiIiIiEQERUxFREREIlhtWpWvgamIiIhIBIuUR5JWBd3KFxEREZGIoIipiIiISAQL1qJb+YqYioiIiEhEUMT0f1QgaDJl0TrmrtuJ2+fnjGYp3HNeF+rFOsPy/mP2QlZk7K/wOtOuOItT0+rz0/a93PrZorD3vxxzMSl1Yk54+SuNYRB9zkAcnc/AcDjwpa/DNX8Wpquowuy25m2JOXcw1gaNCLoKKV25EM8v3xyWwU7MRcOIatcVLBa8G1bg/mY2+EqrqEIniGEhYeAI4nqdh+Fw4lm/mtxZUwkWFVSY3dG2E3UHj8Se2oRAYT7FP35D0TeflcsT3+cy4s7qgyWuDt5d6eR98Dq+jB1VUJkTxLBQf9g1xJ91IZboaFy/LifnjZcJFORXmD264yk0GD6aqLRm+AtyKVjwJXlzPyp735qQSIOrxxLTqQuYJkWLF7J/1gzM0hrWVw7T6eWHMWxW1owdf9Q8Cd060WHSAyR0aY8nM5stT0wh853Py963RDvpOOl+Gg66CMNmJevj+ay/40kCLndVVOGEs1jg71e14JLzU4iJtrFkZS6TXt1CXr7vqOe0bR3HrX9vTZtWcew7UMrM93cx/z/ZFeZ99v9OZs36AmZ+uKuyqnBCWQy4+rIULjgzkWinhRVri5nyzh7yC/0V5j+peTRjR6TSsmk0B/J9zJqbw3eLKv6dO7NbPA/c2IxR/5+9+46OomofOP7dvunZdEgIJfRAJIAUASmiooCCgoCKBVFQFAsWFERBEHxFUHxVBAQVxIIgUiSodEV67xBaei+kbLb+/lhIXDagvj822cjzOWfOcWeeGe4dNzN3nnvv7EvHyNT+w4UAACAASURBVMy58vn9N5DXRYka79NtR1h15DyTerVl7sCbySgq5aVV2yuNfbdvB9Y+cWf5kvD4HTQJC6BNVAhxtYMAOJVdQJOwAKe4tU/cSaivV1VW6//N6+a+6OI6UrRiAYVfTkfpZ8B3wMhKY5WGUPwGPY3p1EEK5kyiZN0yvLr0QdemW3mMT+8H0dSJ4cK3/6Xo24/Q1G2MT+8Hqqg2105An0H4dOhOzuezyHjvdVSBwYSMeLnSWHVoBKGjxlF6YBdpbz1P/g8LCeh9H75de5XH+Pe+D//b+5P33Wekv/0i1vxcQp8ej0Ln+mDkqYIHPIj/zT1J/+Rdkia+hDoohNrPvV5prCa8FpEvTaRo73bOvTKS7MXzCb7nQQJu7esIUKmIeu1tdJHRpL43iZRpr6Ov15DaY96sugpdY43fGE3dJwZfNUYbYqDd6nkU7j3Mlnb3cPajhcTNmUJIz07lMS0/mYThpjbs7DeCnf1GEnxzO1p+MsndxXebYUPqcUePcCbPPM7Tr+4jLFjHlFdjrxgf6K9hxsQ4TiQWMey53Xy/MoWxoxtzY7zBKU6tVjD2mcZ0aBPk7ipcUw/0C+eWTgbem5fMy9NOE2LQMG5UdKWx/n4q3nqhHqfOlTJ64ilW/JrDc49EER/r6xJrCFDzzMOR7i6+qAY1rmE6fPhw4uPjiY+Pp0WLFsTGxpZ/Hjp0KOPGjat0v4ceeoj33nvvL4/fo0cPEhISrnWxq5TZauObvYmM6hRLh7rhNAs3MPXOduxPzWF/ao5LfIBeS4iPvnxZffQ8KQUlvH1nO9RKx1ckMbuQhsEBTnEhPnqUihr0FKdUoW/Xg5INy7GcOYo1PYmiH+ahqdMQdVQDl3BNTCx2swnjltXY8rMxH9uD6dRBNDHNAVD4BaKNbUdxwtdYU85gSTpF8aqFaGNvROEXWNW1+9+p1Pj16E3Bj19hPLofc9Jpsj97D33DZmgbNHEJ18fGYzeZKPxpCdbsDEr3/EHpod3om8cDoNDp8b+tH3nfL6B0/w4sGankfjUbLGa00a7n2SOp1AT2upvsbz6n5OBeys6eIm3WNLyaxqJv1Mwl3OeGtthNJnKXLcacmU7Rjt8o3rcDnxvaOLbHt0MXXZ/U9ydjPHHk4vGm4h17A17NWlZ17f5fvOpH0eGXL4keMYSScylXja0zbCCWgiIOPz+F4uOnOfvRIlIWr6DBC8MA0EeGEzm4D4eemUj+9v3k/b6bAyPGU3tQb3S1w6qiOteUWq1g4F2RfLrwDLv25XEisYg33j1CXPMAWjT1r3SfPrdFUFxi4YO5pzifXMrSVams3ZjJkP5R5TGNY3yZMz2e1nGBXCiqOZlBtUrB3T2D+WJpOnuPFJF43si02eeJbeRDsxjXnrZeXYIoLrXx6ddpJKeXsXJdDhu25XHv7SEusc8Pi+JMkrEqquER7Hb3Lp6kxjVM582bx969e9m7dy/33Xcfffv2Lf/8wAMPkJCQQGlpqdM+586dY9euXQwefPWn+3+L41n5FJsstI2q+GOuHeBDbX9v9qZU3mV/SXaxkc+2H2dUp+aE/KnbPzGnkPpBfm4rc1VQRdRBofPCcu5E+TpbQQ7W/GzUdRq5xNtLilB6+6KNvRFQoAqtjSa6EZa0cwBoomLAbseSdKp8H0tSItjsaOo0dHt9rhVtnXoovbwxnjhUvs6ak4UlOwNdw+Yu8bYLhah8/fBu2xkUCjS1o9E3bI7pnOM86GKaodBoKNnzR/k+dmMpqeOfpOzkEfdX6BrQ12uAytuHkiMHytdZsjMwZ6bj1bSFS7ylsACVnz9+N3UDhQJtVF28mrbAeNrxXdNGRGLJy8WcnlqxT2421guFNa5hGtSxNaXJaWyJ70vp2eSrx3ZuS85vO53ufDmbdmC4qTUAho6tsdts5G3dU749b+se7FYrQZ3auKcCbtSovi8+3mr2Hqzoek7PLCM1o5QbYgMq3eeG2AD2HS5wahzsPZhPy2YV8Te2MrD/cAGPjN5NUbHVbeW/1hpE6/H2UnHgWHH5uswcM+lZJmIbuzZMYxv7cOh4sdO5OHCsmOaNfJziencPwhCg5puVmW4ru6g+/6oxpj179mTy5MmsXbuWfv36la///vvvufnmm4mM/Gdp/9zcXN555x02b96MSqWie/fuvPzyy/j5ORpos2fPZtGiRQD079+f1atXM3XqVNq3b3/tKvU/yLzgaJhf3s0e6qMn40JpZbuU+2LnCQzeOu5tWZHZstrsnM29wNHMfAYvXEdeaRmx4QZGd2lBvRrUWFX6ObrGbBfynNbbLuSj9De4xJuO7sG49zd8+g3D5+5HUShVlB3ehXHLT47j+RuwFxeCzVaxk92Gvbiw0uN5KlVgMADWvFyn9daCPNRBwS7xJXv/oOi3Xwke9hzBjz6LQqWieNfvFK5xjKdUh9fCdqEQXf3GBPQdgjokDFPSGfK+X4Al7eoNGU+hDgoFwJLn/CBnyctBExzqEl+04zcK1icQMeplIp56CYVKxYU/NpH7w9fl+yl9fVHodOVjShV6L1S+fqj9a1B2HUhZvIKUxSv+Vqw+KoLCfc4PI2Wpmah9vNEEG9BHhWPKzMVuqRhvaLdaMWXm4hVV65qWuyqEhugAyMoxOa3PzjERdnGbyz7BOk6eLnKOzzXhpVcR4K+moNDCV0uT3FNgNwsxaADIuWx8bW6+mdAgbSXxahLPl14Wa0GvU+Lvq6KwyEpkuJaH7onglXdO4+1V43Jr/zObvMe0ZlKr1QwYMIAffvihfJ3FYuGHH35gyJAh//h4o0aNori4mLVr17Jy5UrS0tLKhwosX76cRYsWMX/+fH799Vfy8vJISbl6t1ZVMVqsKBWgUTn/79WoVZRZr/y0XWwy8+PhszzcthEqZcUfQXJBEWVWG2arlfG3xjOtdztMVivDv9tMbknN6UpRaLTYbTbnhiSA1QJqjWu83gtVYDDGrT9T+NlUin5cgKZBM7xu7uMI0GixW10H8NuvcDxPpdDqsNusYHP+btjNZhRq15uH0ssHdXAohT8vJ33ay+QsmIW+WRwBve9zbNd7o9B7YRj0GIVrvifro7exlxkJHzMZpW/l3ZmeRqG7eE4u+3uxW8woNJWcEx9f1KHh5K1cwvnxo0n7+F28W7Ym+F7HeOPifTuxlZYQPvxZlN4+KL28CX/sGUcmUf2vyg84UXnpsRqdG2m2MsdnlV6LyssLq9F18petzIRSX3lDzpPpdUqsVjtWq3PfqNlsQ6ut/Har16koM9lc4gG0mpp9i9ZplVht9sv/jDBb7Gg1rg0tnVaJ2XzZubM4zoVGo0CphBcfr8PSNVmcTa459x7xz/zrroiDBg1i7ty5pKSkEBkZycaNG9Hr9dx8883/6DhJSUns2bOHTZs24e/vuJm++uqr3HnnnRQVFbF8+XKGDh1K48aNy7ctW7bsmtfnf6FTq7DZwWKzlY8RBTBbrHhd5Sa4KTENq83Onc2cB6bXNfix/sk++Ok05WNK3+3bgd7zElh9NImhbVy7wT2R3WJCoVSCQgn2P90IVOpKZ9F733IPdpuN0g2OBx1rRhIolfjc+QDGnevBbEKhcj2fCpUau6nmzLS2m00olCrHdOI/NdoVGg12k+vFP/CeodhtNgqWO3oLzElnQKUk6P4RXNiwGrvVilKnJ2vxHMouDg/Inv8+kVPn4NO+KxfWrayaiv0/2E1llZ8TtQZbmes5CR3yGNisZH+zAICys4koVCrCH3uGvIQfsRVdIHX6RCKeHEPM3CXYTSby1/5I2bnT2Epq5uzzv8NqNKLUOTfkL322FJdiLXXdfinGWgPOy9CB0QwdWHG9XPT9eVQqBSolWP90idFolBiNlScFykxWlwao5uJno9FW2S41hslsQ6VUXP5nhEatwFjmWjeT2Y5G7dxg1agd56KszMbgPmHYbPD9miy3ltsTedo4UHf61zVMa9WqRZcuXfjhhx94+umnWbJkCYMGDULxDyfpZGdno1ariYiIKF8XFeUYjJ6amkp6ejq1alV0Nfn4+GAweEb3bbifows/u9hIxJ9e5ZRVbKTrVWbRb0xMo0uDCLw0rl+LAL3zzcNLoyYqwIeMC55/87jEVujowlf6BZT/t+NzIOYT+13iVZENMB/f57TOmnIGhUqN0j8IW2EeCh8/UCgqrhoKJQoff+wXKn+9iSeyXuyuVgUYsOZVTI5TBRiw5Oe6xGvrN6Z0n/MbHkxnTqJQa1AFhWLNdxzDnHKuIsBixpKTiTok3A01uPYsOY4bnzowCEtuRXe+2hCMJe8Pl3h9o6YU7XR+nZrx1HEUag2akDDKii5gPHmUsy8MR+UfgK20FLvZRMycOzBvrNmTLa/GmJSOvpbz0Add7TAsF4qxFFzAmJyOLizI6QFAoVKhDQvCmOL54weXr0ll/W8V5fT31fDE0PoEB+nIzK54OA0J1vLbdlNlhyAzu4xgg/P1NSRIS0mJhaKSyl+pVFNk5Tq68IMCNGTnVXTnBwVqyMkrrDTeEOh8/wkKVFNitFJcaqNnJwPBgWqWfHRxAurF+/rsyY35ZlUm362+/hqs/0Y1u5/gCoYMGcLy5cvJyMhgx44dDBgw4B8fo3bt2lgsFtLS0srXJSUloVAoCAkJoVatWk7bjEYj+fme0RhpHBKAj1bNnj+9mzS1oJjUwhJaR7nObrxkX0o2N9ZxHT+34VQqXf67grySigttscnMufwiGgTXjK5ZAGtGMvayUtTRjcvXKQOCUQWGYD5/0iXeXpiHKsx5XLIqLBK7zYY1LwtzciIolU4z+tXRDUGhcGyrIUzJZ7GVlqBrVPFKG1VwKOqQ8EonK1nzctBE1nNap6kdjd1mxZKVTlniUQC09SomgCk0WtQhEViy0t1TiWus7NwZrCXFeDWPK1+nDglHExZB6dFDLvGWnGx00fWd1mmj6mK3WTFnpKGJqE2dN95D6eOLtbAAu9mEV9MWKH18KDm41+31qS65v+8mqHNbp3XB3dqTu3UP2O3kbt2NQq3G0DG+fLuhUxsUSiW5W3dXdXH/sQtFFlLSjOXLqTNFFJdYaNWiYuJSRJiO2uFe7D9c+f3hwJFCbmjhPDGqdVwgB48W1vgs2ekkIyWlVlo2qZi8FBasISJUy8ETxS7xh08W06Kx80SnuKa+HDlZgt0OY/9zmpGvn+TpN0/x9JuneH++Y8z6hJln+Wmj60P0v4ndrnDr4kn+lQ3TLl26YLfb+c9//sOtt976P2Uyw8PD6dSpE1OmTKGwsJC8vDymTZtGly5dCAoKYsCAASxevJhTp05RVlbG9OnTsVg84+lWq1YxIK4B728+yNaz6RzNyOPVn3bQJiqElrWCMFttZBcbMf+prymrqJSckjIahrjOHG0TFYKPVs3rCTs5mVXA0Yw8Xlm1nUC9lt7NKn8fnUeyWjDu2oR3z3vRNIhFFVEH3/7DMZ87jjXlDChVKHz8QakCwLhjPZpGLdF3vhNlYAiahi3x7jmAst2bwGTEfiEf05Hd+PR5CHVUDOo6Mfj0fhDTwW01KmOKxcKFTQkY7n0YffN4NHUaEPLYGIwnDmE6cwJUapT+gY4hD8CFDavxatkG/zsGoAoJR9+yDYEDH6Fo01rsxlKsOVkUb9tI0P0j0DWNQx0eSdBDo8Bmo3j7pmqu7N9jt5gp+GUVoQ8Mx/uGNujqNaTW6LGUHDmA8dQxUKlRBRjKz0l+wnJ84tsR1H8ImrAIfOLbETb0CfJ/WYWttARzVgbqoGDCHnkKTXgtvJrHEfH0KxRsWIs5I+0vSlNzKDQadOEhKDSOMdZJC75HGxpEi48n4tu0AfVGPUjk4D6cnj4PcEyESluyhrhPp2C4qTWGTm2Im/0WyV/9SFmq52dML2e22Pnhp1RGDYuhfWsDjWN8mfhSc/YezOfwccePeKjVCoICNagvdlmv+iWNQH8tL41qRN0ob+7tU5tbbw7jq2U1c8LTn1ksdlZtyOGxQRG0aeFLTLSesSOjOXCsiOOnS1GrFBj81ahVjnPx85Y8AvzUPP1QberU0tH3lmC6dQhg6cWu+8wcM2mZpvIl++KkqswcU416W4G4un9dVz6AUqlk0KBBvPfee3z77bf/83GmT5/O22+/Ta9evbBYLNxyyy2MHTsWgN69e5OYmMgDDzyAWq1m4MCBqNVqNBrPmPTyVKfmWGw2xq/ZhcVm46Z6jl9+AtifmsOI77fw6YAutL2YIc0udoyb89e7jvfy12v55N7OfLDlEE8s2YzVbqd9dBizB3RBp1ZVXaWugdKNP4JKhU+/YaBUYU48TEnCYgDUdWLwHzqGwoXvYTl3AnPiIYqWzMarc2+8brodW1Ehxr1bMP6+pvx4xasW4tNrML6DnwGbFdOxPZT8/F11Ve9/VrBiMQqVmuBhjln2pYf3kff1HAB0MU0If+EtMma8TtmJwxgP7SH70//gf+cA/G/v7/jlp80/U5hQMcY6Z9HHBN79ACGPPovCyxvT6eNkzpyA7Qq/sOWJsr/7AtRqao16GVRqSvbvImPBRwB4NW5OnQn/IWnSy5QePUDxvp2kznyL4P5DCLrrPiz5eeSv+4ncHy9ef6xWUt59g7BHnqTutI+xFhdRuPlXcr5fWI01vPYMHePpuG4hf9wylNzNOzBl5rCjz3BiZ46n887llJ5LZd+jr5CzcVv5PgdGjCf2g/HcuGIOdouFtGVrOfLC29VYi/+fuQvPoFYpeH1MM9QqRfkvP13Ssqk/H05txTOv7mPvoQLy8s28+OYBnn2iIfM/aENGppHJM4+x50ANeri9ii+XZaBWKXjx8TqoVQp2H7rAx4scr01r1tCbd15pwCvvnObg8WLyCy28PuMMI++vzYdvNiQzx8x785LZf8w1u3q9sdXw7Pk/obDba3pnQfU4evQoQUFBhIc7xswVFxfTunVrEhISqF+//l/sXaFo9qvuKmKN5TtyKrmTR1R3MTxO0PhPOT/ynuouhseJnr2ME0N6/XXgdabx1wms1rj+QML1rrf5OJ371ozMfVX6bWVX7hx2sLqL4XF+mu8Z7xlevtO9GeF+N3pOkulf2ZVfFX777TeeffZZCgoKMJlMfPTRR0RHR1OvXr3qLpoQQggh/kWup19++ld25V/Jr7/+yksvvXTF7RMmTKB///5/61gPP/wwSUlJ9OrVC5PJRFxcHLNnz/7Hs/+FEEIIIYTDddUw7dmzJ3v3XpsZsFqtlkmTJjFp0qRrcjwhhBBCiMrY5ZefhBBCCCGEqFrXVcZUCCGEEKKmuZ5m5UvDVAghhBDCg3naBCV3kq58IYQQQgjhESRjKoQQQgjhwSRjKoQQQgghRBWTjKkQQgghhAez2eV1UUIIIYQQQlQpyZgKIYQQQngwGWMqhBBCCCFEFZOMqRBCCCGEB5OMqRBCCCGEEFVMMqZCCCGEEB7sevpJUsmYCiGEEEIIjyAZUyGEEEIID2aX95gKIYQQQghRtSRjKoQQQgjhwWRWvhBCCCGEEFVMMqZCCCGEEB5MZuULIYQQQghRxSRjKoQQQgjhwWSMqRBCCCGEEFVMMqZCCCGEEB7sesqYSsNUCCGEEMKDyeQnIYQQQgghqphkTIUQQgghPNj11JWvsNuvp+oKIYQQQtQsc3917/Ef7+ne4/8TkjGtZvn7NlZ3ETxOYKtuZB7ZVd3F8DhhzdtyLDG5uovhcZrGRHH3k8eruxge58dPmtC576bqLobH+W1lV1ZrmlR3MTxOb/NxVu2xVHcxPE6f1p7RTLLZqrsEVUfGmAohhBBCCI/gGY8CQgghhBCiUtfToEvJmAohhBBCCI8gGVMhhBBCCA8mGVMhhBBCCCGqmGRMhRBCCCE8mPzykxBCCCGEEFVMMqZCCCGEEB7M/b+FpHDz8f8+yZgKIYQQQgiPIBlTIYQQQggPJrPyhRBCCCGEqGKSMRVCCCGE8GA2W3WXoOpIxlQIIYQQQngEyZgKIYQQQngwGWMqhBBCCCFEFZOMqRBCCCGEB7uefvlJGqZCCCGEEB5MuvKFEEIIIYSoYpIxFUIIIYTwYHa39+XLT5IKIYQQQgjhRDKmQgghhBAe7Hqa/CQZUyGEEEII4REkYyqEEEII4cFkVr4QQgghhBBVTDKmQgghhBAezHYdDTKVjKkQQgghhPAIkjEVQgghhPBg19MYU2mY/ktZbTZmf/MjqzdtpaS0jA6tYnlp2BCCA/0rjX9t5hzWbdvttO7GFk357+vPA5BXeIH3v1zCtn2HsWOnbWxTnn1oIOHBBrfX5VqyWm3MXfwdazZsobS0lHbxcbzwxKMEBQZUGj/h3Vls2LrdaV2buFjen/iaS+yGrduZ8O4svvv0fWqFhbql/O5itVr56ssFrP91LaWlJcS3uZGRT40m0BD0l/u+9cZrGI1GprwzA4B1vyQwa+a7lcbecmsvRj//0jUtu7soFfDAXSH06BiAl07J3iPFzP4mg4IL1krjG0brGH5fOA3q6MjJt/DdTzls2F5Yvr1NrA8Tno5y2W/Yq4nk5FvcVg93USrh8Qfrc8ct4Xh7qdm+J5cZs0+Sl2++4j5NGvry7OMNaRzjS1ZOGV98c56EDRmVxk5/syUHjxTwxXfn3VUFt2nx0UQUahUHR4y/YkxAmxY0nzGOgFbNMKZkcPLtj0lZ9GP5dqWXntgZrxHR7zYUahVpSxM4MmYq1uKSqqjCNWOzWVnz7Sx2bl5OWWkxTW/ozD2PjscvMKTS+O0blrFx1QJys5IJDouiW59htOvWv3z77z9/zbIFk532USpVvPvVAbfWQ1QdaZj+S81dspKfNv/BG6MeJcDXl/98tpixM2Yzd9LLlcYnnk9h1P396d21Y/k6jbri6/H6B/MoM5uZNe5ZFAoF787/mlemf8LnU10baJ5swbdLSdiwhfGjR+Lv58uMOQsY/877fDz1jUrjT59LYuTQwfTq3qV8nVajcYnLzs1j+ifz3VZud/vmqy9Zv+5nnhvzCn7+/sz+aBbTpkxk2vQPrrpfwk8r2bVzOy1a3lC+rvPN3Wndpp1T3K+/rGHJN4u5q989bim/OwzuE0yPDgG8/3kaF4qtjBwSztgnavPqe0kusf6+Kt54pg6bdxby4cJ0WjXz5umhEeQVWth31NGQqBupI/G8kUkfJTvte6WGrqcbNqQed/QIZ/LM4xReMDNmZCOmvBrLU6/sqzQ+0F/DjIlx/LIpk2kfHufGVgbGjm5MTr6JnXvzyuPUagUvPtmIDm2COHikoKqqc800fmM0dZ8YzPn5S64Yow0x0G71PFK/WcWBJ8YR2vMm4uZMoSw9m+xffweg5SeTCIiPZWe/ESjUam6Y+zYtP5nEvoderKqqXBNrv/+IXZt/ZMiTU/HxC2Tp/Lf4/P3neObNRS6xB7b/zNL5kxgw/A1imt3IyUPbWDL3Dbx9A2jRtgcAaUkniW3TnQHDK67ZCg/61SJ3uZ4ypjLG9G/o06cPy5YtA2D48OF8+eWX1VyiqzNbLHy7Zj1PDu5H+7jmNG0QzeRnh3PgeCIHjie6xJvMZpIyMmkeU5/gwIDyxd/XB4DiUiO7Dh/nobtvp0n9aBrXq8Mj/e/g6OlzFBQVV3X1/mdms4UlqxJ44sH7uLFVS5rE1OfNMc9w8NgJDh474RJvMptJTs+gWaMGBBsCyxe/i+flz6b9dw4x9epURTWuObPZzMoflzH04WG0at2WmIaNeXHseI4eOcTRI4evuF9aagqLvviMJs2aO63X6XQYgoLKl7IyI0u+Wcyjw0dSr36Mu6tzTahV0Le7gYU/ZrH/WAmnk8qYPi+V5g29adpA7xJ/a6cASoxW5i3JJCXDxOqN+WzaXki/nhUZ5+jaWs6llpFfaHVaauINR61WMPCuSD5deIZd+/I4kVjEG+8eIa55AC2aVt4r0+e2CIpLLHww9xTnk0tZuiqVtRszGdK/IovcOMaXOdPjaR0XyIWiK2dePZFX/Sg6/PIl0SOGUHIu5aqxdYYNxFJQxOHnp1B8/DRnP1pEyuIVNHhhGAD6yHAiB/fh0DMTyd++n7zfd3NgxHhqD+qNrnZYVVTnmrBYTGxJWMQdg5+lSdxNRNVvztDR0zl7fC9nTux1iS++kM/tA0bRrmt/gsOi6NBjABF1GnHqcEWvVXrSSWrXbYp/YGj5cqXsq6iZpGH6D82bN4+HHnqouotxVSfOJlFSaqR188bl62qHhVArNJh9x066xJ9NScdqtVE/KqLS4+k0Grz0OlZv2kZRSSklRiM/bdpGVEQYft5ebqvHtXbyzDlKSo3Et6hoSNUKC6VWWCgHjhx3iT+fnIrVaqVuVORVj/vDml/Iycvn4YH9rxrnqc6cTqS0tIQWca3K14WHRxAWHsGRw5V3j1mtVma+N417BgymTp26Vz3+5/PnULdefW6/o/c1Lbc71Y/S4+2l4tCJim7TzFwLGdkmmjf0dolv3tCLwydLnRqZB0+W0Cym4u+jbm0dyWkmt5a7qjSq74uPt5q9B/PL16VnlpGaUcoNsZUPi7khNoB9hwucztHeg/m0bFYRf2MrA/sPF/DI6N0UFdesTHJQx9aUJqexJb4vpWeTrx7buS05v+10SoPlbNqB4abWABg6tsZus5G3dU/59ryte7BbrQR1auOeCrhB6tljlJUW07B5RQ9KUGgkQaGRnDm22yW+Y8/7uOXuxwGwWi3s37aWzNTTNG5Z0ZOXnnyK8MgG7i+8h7HZ7W5dPMl10ZWfnJxM37596d27NwkJCTz22GOcPn2a3bt3k5OTQ2RkJOPGjaNTp04ArFmzhpkzZ5KVlUWfPn0wmyue3IcOHUq3bt147LHHKCkpYcaMGSQkJGCxWOjQoQOvvfYaYWHV+0SbmePoFgsLch7/GWoIJCMnzyX+dFIqGrWaOd+t5I99h9BptdzSoTWP3tMbnVaDWq1iwpMPM3XuInoOex4FEBToz+w3pnsJFQAAIABJREFUX0SprDnPNlk5uQCEXnZegoMCyczOcYk/fT4ZjVrN/G+Wsm3PfnRaLd1vasdDA/uh02oBOJ+SxpyvvuPDya9TUlLq/kq4QU52FgDBwc5Zh6CgYLKzsirdZ+l3X6NAQb977+OjWTOueOwzpxP54/ctvDV1eo36rgQbHJfGy8d+5hZYCTG4XjZDAjWcSSpzjs23oNcp8fNRUVxiJTJcS0y0nvfH1SXAV83Jc6V88UMWKRk1KzMIEBqiAyArx7mhnZ1jIuziNpd9gnWcPF3kHJ9rwkuvIsBfTUGhha+Wug6TqClSFq8gZfGKvxWrj4qgcN8Rp3VlqZmofbzRBBvQR4VjyszFbqn4/tmtVkyZuXhF1bqm5Xan/FzH+OEAg/M90d8QSn5O+hX3S0o8xKwJ92OzWWnX/V6axXcFoCA3g9LiQo7t28LapR9jMpYS06wtfe4fQ0BQzckki6urOXeK/6eSkhKCgoLYunUr58+fp6ysjNWrV7N79266du3K5MmOwdQnT57k5ZdfZty4cezYsYP69etz9uzZSo85YcIEDh06xNKlS1m3bh1eXl6MGjUKm81WhTVzZTSZUCoUqNUqp/UajRqTyfUmeDo5FbvdTr3ICGaMfYbhA/rw4/rfmTa3YgzQudR0YupE8vGEF/jkzReJrhXOK9M/objU6Pb6XCvGsjKUSgVqtXPDQqvWUGZ2PS9nkpKxYyc6sjb/Gf8ijw7qz6pfN5aPJbVYrUz+4BPu79+HhvWiq6QO7lBWZkSpVLqcF41Gg8nkmuE7dfIEy39YwnNjXvnLxuaK5Utp0rQZcTfEX9Myu5tOq8Rqs2O97E/ZbLGh1biOZ9NpFZjM9stiHZ+1GgURoRp0WiUajYKPFmXwn3mpaNRK3h4TTYCfyuV4nk6vU2K12rFaL6uz2YZWW/l3Qq9TUWayucQDaDXXza0IAJWXHqvR+W/LVub4rNJrUXl5YTWWuexnKzOh1Ffe8PdE5jIjCoUSldp5XL5arcVsvnLvQVBYFM9N+ZZBIyazf1sCa76bBTiypQBKtYahz7zL4JGTyUo/y+wpj2E21Zx70f/CbnPv8k8cP36cwYMH06pVK3r16sWmTZsqjTt79izDhw+nXbt2dO7cmbfeeouyMtfv9eWui4zpJb1790ar1TJmzBi0Wi0ajYbU1FR8fX3JyHA82a1Zs4b27dvTtavjCe3RRx9l0SLXQdplZWUkJCTw+eefEx4eDsD48eO58cYbOXHiBE2bNq26il1Gp9Vis9uxWK2oVRU3PbPZgr6Si9rIQXfzQN/bCLg4drJhdCRKpYLxH8zjuYcGcjo5jU+/XcGKj6cRGhQIwH9efJK7R73K6o1bue+OHlVTsf8nnU6LzeZ6XkwWM1461/Py+P0DGXJ3b/z9fAGIqRuNUqnkzff+y9OPPsCyNT+jVCi4v1/fKquDO2i1Omw2G1arFZXT98WMXu88ntJkMjFz+lQeGPootWpffYiDyWRi6++beXzE024ptzuZzDZUSgVKJfz5OVOjVmIsc+32KjPb0VzWYNWoHZ+NJhs5+TYeGHOS4lJbee/t1E9T+OztBnRr58+P61x7MjzJ0IHRDB1Y8fC16PvzqFQKVEqcGu8ajRKjsfIu+DKT1aUBqrn42Wis3of5qmY1GlHqtE7rLn22FJdiLXXdfinGWlJzZuVrtDrsdhtWqwWVqqK5YbGY0OmuPAzMxy8QH79AIus1o6gwh5+XfkKvgU/TJK4TEz/9DV//il6viKiGTBrVnaN7NxPX/ja31kc4rutPPvkkQ4cOZeHChWzevJnnnnuOVatWERnpfE946qmn6N69Ox9//DH5+fk89dRTfPDBB7z8cuWTsC+5rhqmoaGOV/hkZmYyZcoUTp48Sf369QkJCcF+8W6RlZVFRETFWEuFQuFysgEKCgowm81ERVUM3Pfx8cFgMJCWllatDdNLr3DKySsgPKRi8kVWXj43G25wiVcqleWN0ktioh11zsjJ49DJ0wQbAsobpQB+Pt5E1wonKaPyrl5PFBYcDEBOXj7hIcHl63Ny8wlp5/raK6VSWd4ovaRBXccEp8ycHNas30J2bh53PDgcqPhljodGv8LQAXfz0IC73VKPay0k1NEFlpubQ2hoRXdYbm6OS/f+ieNHSU46z5cL5vLlgrmAowFrt9sZdE9v/jt7PqFhjge1A/v2YDFb6HBT5yqqybWTnevoQg0KUJOdV9GdGhSgqvTVTtl5Zgz+zpnPoEA1pUYbJaWORldRiXPjy2S2k55tJiTI8y/Dy9eksv63zPLP/r4anhhan+AgHZnZFRmQkGAtv22vPBOWmV1GsMG5sRUSpKWkxEJRSc17Xdb/hzEpHX0t51fK6WqHYblQjKXgAsbkdHRhQfz5yUihUqENC8KYklnZIT1SYLDjXlqYn4UhuGIIQmFeFv4G1673xCM70Xv7ElmvWfm6WnUaYzYZKSkqwNc/yKlRCo5hAT5+hqsODfg3sHvIONDt27djNBp55JFHUCgU3HLLLbRr146VK1cycuTI8rjc3Fxq1arFU089hVarJSwsjLvvvpvVq1f/5b9xffWfXPT888/TpUsXtm3bxrfffsvdd1c0IMLDw0lNTXWKv5RN/bOQkBC0Wi3JyRWD3IuKisjLyyMkpHpnCDaqG4W3l549RytmmqdmZpOWlUOrZo1c4l+bOYeXp3/itO5Y4jm0GjVREaGEBRvILSgkt6DinYzGMhMpmdlER9SccT0N60fj7aVn36Gj5evSMrNIy8yiVXPXB4kJ787itWkzndYdP3UGrUZDZEQEs94ax5ez3mH+jLeZP+NtXn3mCQD+M/4l+t1+i3srcw3Vb9AALy9vDh/cX74uIyOdzIx0YlvGOcU2atyU2fO+5P3/zilfOnTsTEzDxrz/3zkE/akhe/jwQWIaNsTX17lxXxOcSSmjpNRKbKOKiU5hQWrCQ7QcPuWasTqaWOoUC9CysTdHEx0Totrf4Ms3Mxvh71vRePXSKagdpuV8qudPiLpQZCElzVi+nDpTRHGJhVYtKiYuRYTpqB3uxf7D+ZUe48CRQm5o4TwxqnVcIAePFtbINxP8f+T+vpugzm2d1gV3a0/u1j1gt5O7dTcKtRpDx4ohMIZObVAoleRudZ005Klq122KzsuH00d2la/LzUohNyuFmGZtXeLXr/yMNd996LTufOJBfP2D8fEzsCVhEROf7IbVUjH0KjcrlaLCXMKjGrqvIteBwsJCkpOTXZbCwkKnuMTERGJiYlAoKnqIGjRowMmTzhOrg4KC+Oyzz/DxcSS97HY769at+1tJu+uyYVpUVIRer0epVHLu3Dlmz55dPsGpd+/e7Nq1i7Vr12KxWFi0aBHnzp1zOYZSqaRfv35Mnz6djIwMiouLmTJlCg0aNKBFixZVXSUnWo2GAbd1ZdbCpfyx7xDHTp9n/AfzaN28MS0bN8BssZCTX4D54sD6Hh1as3nXfhav+oXk9CzWbdvNrEVLeaDPrXjr9XRpE0d4cBDj3p/L0dPnOHU+hQkffoZOq+GOmztUa13/Ca1GQ/9et/LxF4vZvmc/xxPP8OZ7H9IqthmxTRphNlvIycvHbHacl243teO3Hbv55sefSEnLYMPW7Xz0+WIG330n3l56IsJCiaoVUb6EBjmy0xFhIS6ZVk+m0Wi5o89dLPjsU/bs2kHiqRNMnzaZFi1voEnT5pjNZvJyczGbzeh0OmrVjnRavLy9y9f/eSjA6cRT1K1XM2fPWix21mzO59F7Qolv7k2DOjpeHF6bgydKOHHGiFoFgf4qLg3j/uX3Avx9VTx5fzhREVp6dwvk5hv9WfaLY8LdoZMllBitPP9ILepG6mhQR8fLj0dyocjKxu2FVymJZzJb7PzwUyqjhsXQvrWBxjG+THypOXsP5nP4+AXA8UqpoEAN6otDGlb9kkagv5aXRjWibpQ39/apza03h/HVspo74envUmg06MJDUFx8B3LSgu/RhgbR4uOJ+DZtQL1RDxI5uA+np88DHBOh0pasIe7TKRhuao2hUxviZr9F8lc/UpZaczKmao2Wm24dzMqv3uXYvi0knznCwlkvEtPsRuo2ugGLxURhfhYWi+Ph7OY7hnJs32Y2rFpAdvo5tm9YyoaV87l9wCgUCgXN4m+mzFjMt3MmkJFymjPH9/DFzOeo36Q1TeJuqubaupfN5t7liy++4JZbbnFZvvjiC6dylJSUuAzx0uv1lJZeefKvzWZj8uTJnD17llGjRv1lXT2/D8kNpkyZwttvv80HH3xAWFgYgwcPZvr06SQlJVG/fn1mzZrFO++8wyuvvELXrl254QbX7m+AsWPHMmPGDAYMGEBJSQkdOnRg7ty5Tk8S1WXEoLuxWKy88d/5WCxWOraK5aVh9wNw4HgiT02awccTXqBNbBN6dmyLyWRm0cqfmf3NjxgC/Bh0Rw8e7tcLAG+9no8nvMCHi5by/NQPsdvtxDWJYc7El/CtQa+LAhj+wEAsVgtvvf8xFquV9vFxPP/EowAcOn6C0a9PYdZb44hv0ZwenTpgMpn5evkq5i7+DkOAPwP73M6D995VzbW49h58aBhWi4UZ06ditVjLf/kJ4NjRw4wfO4bJ096j5Z9eKfVX8nJzaBBTc7MYi1Zko1IpeOHRWqhUCvYeLmb2N45GQdMGXkx5IZpxM85z6GQpBResTPxvMo/fF8bM1+qSlWvhgy/SOHjckV0tLrEx4YNkHu4fypTn66BSwr5jJYx/P6l8klRNM3fhGdQqBa+PaYZapSj/5adLWjb158OprXjm1X3sPVRAXr6ZF988wLNPNGT+B23IyDQyeeYx9hyoPMP6b2LoGE/HdQv545ah5G7egSkzhx19hhM7czyddy6n9Fwq+x59hZyN28r3OTBiPLEfjOfGFXOwWyykLVvLkRfersZa/G/uuG80NouFrz4ai81qocnFX34COHtiH5+89ShPvr6Ahs3b0SSuEw89N5Ofl35MwncfEhgcQf9HXqN993sBCAmPZsRr81j9zUw+eH0wKpWa2DY9uOvBmvFrcp7s4Ycfpn9/11ce+vs7v5fY29sbo9F5opnRaMTb2/U1euBIBL700kucPXuWhQsXlg+pvBqF3VMGLlyn8vdtrO4ieJzAVt3I/FPXj3AIa96WY4lXfz/i9ahpTBR3P+n6Htrr3Y+fNKFz38pny17PflvZldWaJtVdDI/T23ycVXuur7G+f0ef1p6Rv5vwhXuH/Ex62HWyXWW2bNnCq6++ym+//Va+bsSIEcTHxzuNMQXHMMhhw4ZRq1YtZs6ciZ+f39/6N67LrnwhhBBCiJrCZnfv8ne1b98elUrFnDlzMJlMrF+/nu3bt9O7t/MPqJhMJoYPH06TJk349NNP/3ajFKRhKoQQQggh/gatVsvcuXPZuHEjHTp04N1332XmzJnUqVOHFStWEB/vmLC3ceNGTpw4wbp162jbti3x8fHEx8czYMCAv/w3PCNHLYQQQgghKmX/J2lNN2vcuDGLFy92WX/XXXdx112OORi33XYbx4//b0OsJGMqhBBCCCE8gmRMhRBCCCE82PU0TV0ypkIIIYQQwiNIxlQIIYQQwoPZPGiMqbtJxlQIIYQQQngEyZgKIYQQQniw6+m3kCRjKoQQQgghPIJkTIUQQgghPJjdVt0lqDqSMRVCCCGEEB5BMqZCCCGEEB7MJmNMhRBCCCGEqFqSMRVCCCGE8GAyK18IIYQQQogqJhlTIYQQQggPJr/8JIQQQgghRBWTjKkQQgghhAe7joaYSsZUCCGEEEJ4BsmYCiGEEEJ4MPt1NMZUGqZCCCGEEB5MXrAvhBBCCCFEFZOMqRBCCCGEB7ueuvIlYyqEEEIIITyCZEyFEEIIITyYZEyFEEIIIYSoYpIxFUIIIYTwYNdRwlQypkIIIYQQwjMo7Pbr6OVYQgghhBA1zMh38tx6/NmvGNx6/H9CuvKr2Tvf26q7CB7nlQFK3v7WWt3F8DivDVLx1teW6i6Gx3l9iJp+T52o7mJ4nOUfN+bOYQeruxge56f5LVm1R/6OLtentZrVmibVXQyP09t8vLqLcN2RhqkQQgghhAe7njq3ZYypEEIIIYTwCJIxFUIIIYTwYLbraFq+ZEyFEEIIIYRHkIypEEIIIYQHkzGmQgghhBBCVDHJmAohhBBCeDC7jDEVQgghhBCiaknGVAghhBDCg0nGVAghhBBCiComGVMhhBBCCA9mu45m5UvDVAghhBDCg0lXvhBCCCGEEFVMMqZCCCGEEB5MXrAvhBBCCCFEFZOMqRBCCCGEB7PJGFMhhBBCCCGqlmRMhRBCCCE8mMzKF0IIIYQQoopJxlQIIYQQwoPJrHwhhBBCCCGqmGRMhRBCCCE8mN1mq+4iVBnJmAohhBBCCI8gGVMhhBBCCA8m7zEVQgghhBCiiknGVAghhBDCg11Ps/KlYfovZbNZ2fPLB5zc8wNmUwlRjTrT8a7X8fINqTT+9IGfOLBpLoU55/DyC6Vx2wG07DIMpVIFQMa5Pexc+x65qUfR6v2IadWX1j1Ho1Jrq7Ja/28KBXRtoSCuvgKtGk6nw9rdNorLKo9vVkfBTc0UGPygqBT2n7az7bidS9eIcAP0iFNSKwjMVkhMs7N+vx2jqerqdC0oFNA9TklcfQU6taMea3bbKDZWHt88WkGn5kqCLp6XvYk2/jhWcV4uUSnhsdtU/HHMxsGzNevCqlTA/XeF0KODP146JXuPFPPpt5kUXLBWGh8TrWP4wDAa1NGRk2/huzU5bNx+wSnm3tsN3N45EH9fFYnnjcxbksWZ5Ct8+TyUUgEP3RNOz04GvPRKdh8q4uNFqeQXWiqNb1TPixFDatEg2oucfDNfr8xk/db8SmM7tfFn3Ki6PPLSMTJzzO6sxjVns1lZ8+0sdm5eTllpMU1v6Mw9j47HL7Dya+72DcvYuGoBuVnJBIdF0a3PMNp161++/fefv2bZgslO+yiVKt796oBb6+FOLT6aiEKt4uCI8VeMCWjTguYzxhHQqhnGlAxOvv0xKYt+LN+u9NITO+M1IvrdhkKtIm1pAkfGTMVaXFIVVRBVQLry/6X2rvsvJ/cu5+aB07hz+JcUF6azbvGzlcYmHd/MpiUv07jtAPo9s5y2t7/Awc3zOLDxUwCK8lJY+/njhEa1pN8zy+kyYCqn9q1g188zqrJK10SXWAUt6ytYsd3Gwg02/Lzhnk6V/xk0iIC7OyjYd9rOvAQbGw/Y6NDM0VAF8NXD/V2V5Bfb+eJXGz9stVE7SEH/jjXvz6prCyVx9RT8uM3GF+us+HkrGNBZVWlsTC1HHfcm2pizxsr6/TZuaq6kc3OFU5xWDQO7KAk3KCo9jqcb3DuYHu39+eCLdMbNTCLYoOaVx2tXGuvvq+KNp6M4nWTkhannWL0xn6cfjKBVM+/ymEF3BnHPrUF89n0mL0w9R06+hdefikSvq1nn54F+4dzSycB785J5edppQgwaxo2KrjTW30/FWy/U49S5UkZPPMWKX3N47pEo4mN9XWINAWqeeTjS3cV3m7Xff8SuzT8y5MmpjHrjS/JzM/j8/ecqjT2w/WeWzp9E97uG8fL0ldx858MsmfsGh3atL49JSzpJbJvuvPHJxvJlwkfrKz1eTdD4jdHUfWLwVWO0IQbarZ5H4d7DbGl3D2c/WkjcnCmE9OxUHtPyk0kYbmrDzn4j2NlvJME3t6PlJ5PcXfxqZ7fZ3bp4kpp3BxV/yWoxceSPhbS97XkiG3YiJDKWboNmkHluDxnn9rrEH9/xLfVib6V5xwfwD46mfovbadHpYU7s+QGAC/kp1Iu9lfZ3jsU/OJrIhjfRoOUdpCZuq+qq/b8olXBjYwUbD9g5mwEZebB8q406oQoig13jWzdUcizZzu5TdvKL4Vgy7DhuJ66+oyHRLFqBxQYJu+3kXIDkbEf2tX6EAn9v1+N5KqUS2jVRsP6AjTPpdtLzYNlWK9GhCqIqSfa0aajgaJKdXSft5BXB0SQ724/ZuKFBxeWkfriCx3up8NXXrEbXJWoV9OkeyKIV2ew/VsLppDLe+yyN5g29aNJA7xJ/ayd/SoxW5i3JIiXDzOqN+WzaUUi/ngYA9DoF/W8NYv7SLLbvLyY108wnX2dittiJiXY9nqdSqxTc3TOYL5ams/dIEYnnjUybfZ7YRj40i3H90vfqEkRxqY1Pv04jOb2Mlety2LAtj3tvd/1iPT8sijNJV0jReziLxcSWhEXcMfhZmsTdRFT95gwdPZ2zx/dy5oTrNbf4Qj63DxhFu679CQ6LokOPAUTUacSpw9vLY9KTTlK7blP8A0PLlytlXz2ZV/0oOvzyJdEjhlByLuWqsXWGDcRSUMTh56dQfPw0Zz9aRMriFTR4YRgA+shwIgf34dAzE8nfvp+833dzYMR4ag/qja52WFVUR1QBaZj+C+WmHcNcVkxE/Xbl6/wMkfgaIsk4t8sl/obuI2nVY5TzSoUSU2khALXqt+PmAdPKN2WnHObc0XVENuxETRIeCDqNgvOZFU+HBSWQX2SnTqhrA+r3IzZ+O+z8JGm3g/7i6IWTKXaWb7U5dV9f+k99DRrhEHHxvJz783kphrwiO9GVnJcth21sPuT8Tr0/nxeARpEKDp61seCXyru9PV39KD3eXioOnajoHszMtZCRbaZ5jJdLfPMYb46cLHX6Lhw6UUrTBo7YZjFeaDQKtu4tKt9earQxYsIZDp8sdV9FrrEG0Y7zcuBYcfm6zBwz6VkmYhu7NkxjG/tw6Hix03k5cKyY5o18nOJ6dw/CEKDmm5WZbiu7O6WePUZZaTENm1dcc4NCIwkKjeTMsd0u8R173sctdz8OgNVqYf+2tWSmnqZxy47lMenJpwiPbOD+wrtZUMfWlCansSW+L6Vnk68e27ktOb/t5M9fmJxNOzDc1BoAQ8fW2G028rbuKd+et3UPdquVoE5t3FMBD3E9ZUxljOm/UHFhOgA+/s5PkN5+YRTnp7vEh0a1dPpsMhZxbMc3RDbu7BK76K12mIwXCK7VjFbdR17DUruf/8X2xIXL2gEXjFSa4UzLdf6sVUPrhgpOpzn+iPOLHcufdWiqpLDETlbBNSp0FfD3djQ+L1w2RKuo9NI254tWZeelTSMliWkVcT/vqdkvgw42OC6NOfnO4yZzCyyEGDSVxp9ONrrE6nVK/HyU1A7TUnjBSuN6eu7vG0x4sIbTSWXMX5pFcnrNGZB8qe45+c7jP3PzzYQGuT6NhRjUJJ4vvSzWcV78fVUUFlmJDNfy0D0RvPLOaby9amauJD83A4AAg/M1198QSn6O6zX3kqTEQ8yacD82m5V23e+lWXxXAApyMygtLuTYvi2sXfoxJmMpMc3a0uf+MQQE1azMYMriFaQsXvG3YvVRERTuO+K0riw1E7WPN5pgA/qocEyZudgtFX+XdqsVU2YuXlG1rmm5RfVx21UgOTmZ+Ph4Pv/8c7p06UL79u0ZO3YsZrOZsrIypk6dSteuXenUqROvv/46xcXFFBQU0Lx5c5KSkgA4fPgwTZo0YevWrQDk5ubSokUL8vLyWL9+Pb1796Zt27b07duX5cuXl/+7LVu2ZO7cubRv356bbrqJOXPmlJcrNTWVp556im7duhEXF8c999zDkSOOP4Rly5YxdOhQxowZQ3x8PL169WLDhg3l+6anpzNq1Cjat2/PLbfcwvz588tnyo0dO5bnn3+eHj16cOutt2IyVd/NxmI2olAoUaqcb6AqtRar5eoTLSymUtZ99TRWs5Ebb3vBaZvdZuP2Rz/jtkfmYjEb+fnLkTVqpqBarcBms3P5w6HV6ui6veq+KhjQWYlaBRsOVF7nbnEKGtV2dOfXoNOCRk2l58Vis/+t83LfzY7zsn5fzW6M/plOq8Bqs2O9rEpmix2txjWLrNMoMJvtLrEAWo0Sb70SL72Sx+8L4/uEXCZ/kkKZycbbL9TB3/cvTrIH0WmVjvNyWSL8iudFq6zkvDhOqkajQKmEFx+vw9I1WZxNrpnd+ADmMsc1V6V2vuaq1VrM5ivfC4LConhuyrcMGjGZ/dsSWPPdLMCRLQVQqjUMfeZdBo+cTFb6WWZPeQyzqeaep7+i8tJjvWzmqK3M8Vml16Ly8sJqdL2H2cpMKPW6KiljdbHZbW5dPIlbH09LSko4evQoP//8M1999RXr1q3j559/5t133+XQoUMsXbqUhIQEcnNzmTx5MgEBAbRu3Zrff/8dgN9//x29Xs/27Y5xN1u2bKFVq1b4+/vz8ssv89prr7Fr1y5effVVJk6cSEGBI01lMpnYvXs369atY8GCBXz++eesWOF4Yhs3bhy1a9fml19+YceOHdSrV48ZMyom8ezYsYOGDRuyfft2nn32WUaPHk1SUhJWq5WRI0dSq1YtNm/ezGeffca3335b3iAG+OOPP/jqq69YtmwZWm319eWq1Xrsdhs2q3O2x2oxodZeefCjsTiPhAXDyEk9wm2PzMXX4DwRQaFUEhrVkqhGnekyYCqZ5/aQeX6fW+rgDharHaVSgeKy+6dKBebKJxQD4KWF+7spiTDAt5ttFF6WWVQooFcbBR2bKkjYbedk6rUvuzuZLVR6XtRKBaa/OC8PdldRy6Bg8UYrBf+iSbEmkx2V0tFw+jONWoHR5HoRN5ntqNUKl1gAY5kNi9WOXqdk9jcZ7DxYzKlzZcxYkI7dbqdbOz+31eNaM5ltVz4vZZWfF43LeXHsXFZmY3CfMGw2+H5NltvKXBU0Wh12uw3rZddci8WETuc69OMSH79AIus1o123/vTs9wSbf/oSm81Kk7hOTPz0NwY9MYnIes1o3LIjw8b8l6y0Mxzdu9nd1ak2VqMRpc753nnps6W4FGup6/ZLMdaSf9EFqBLXU1e+2/tNHn/8cby8vGjYsCFxcXGcOXOGJUuWMGbMGEJCQvDz8/u/9u6BIxFhAAAgAElEQVQ8PsZrf+D4ZyYLkpAIWaytpQmlWQgRwpWElooqquGidm1DVeu21JJbF621UUWVSKtoi8bSUNu1iwhVbm1tLQ1ZBQmRdTIz5/dHfkanSUvbRAbf9+uV1yvzLOc551nOfJ/znPMM48aNY+PGjRQWFtKxY0dTC2l8fDx9+vQxBab79+8nJCQEjUZDpUqV2LBhAwkJCbRq1Ypjx47h6Oho2u7EiRNxcHDA09OTPn36sHnzZgDee+89xo0bh1KKlJQUqlWrxpUrV0zr1a5dm1deeQVbW1u6du1K8+bN2b59O6dOnSIxMZHx48dTqVIlHn/8cYYMGcKaNWtM67Zq1YpatWpRtWrFftHYO7oDkHfLvLLPu5WBXbXSHwPdykph8yf9uJWZzLMjVpo93s/KOE/K+Tiz5Z3dPIrTzL7Cg+J2QOnwm7EmVSuXfLx/m6MdvNRJi5M9rNxtLPEY20oLvdtp8W6gYdNhxfELlnWB34vsvOI8V/3N96dDFbiVX3p5HO1hSGcrnBxgxS5Dif3yoLuWVRxgODua93ZydrQm80bJaP1alr7UZfMLjOQVGMm8WbzOpZQ7rT1FesWV63rcapbsGmCprmYWP8J3djTPs7OTDdezSr7e6WpmEdWdfrNfnKzJKzCQm2+kU7vqNH6sMusWPUnM4ieZ/mYDAJZM9+DFbi7lVIqy51SjuM7NvmFe52ZnXaVa9ZJ17oUzR0lJPGs2rVY9D4p0BeTlFDewOFSrbja/WnUX7KtW/8OuAQ+6gqR0KtcyP+6Varuiv5WL/uYtCpLTqeTqzK/vjDRWVti6OlOQ8mD2TxYllXtg6uzsbPrf2tqaa9euUVBQwIgRI/Dz88PPz48XX3wRa2trUlNTCQoK4vDhw+Tl5XHy5ElGjBjB6dOnuXXrFgcPHiQkJAStVsvnn3+OwWBgzJgx+Pv7M2vWLNPjc61WS7169UzbdXd359q1awAkJibSv39/OnTowL///W+SkpLMHkfXrVsXza+ajm6vm5KSQmFhIQEBAaZ8z549m4yMOxdDzZqWMWLSuVYTbCrZk5541DTtVlYKOVkpuD/uV2L5/JzrbF0+CKUUoS9/ibO7p9n8pB/3snfNv9AX3flSvZp8EgAn10blVIqyl3EDCosU9V3vHF9HO3By0HD5askAzK4S9A/SogFW7DKW2m+0V1stj7vB2oNGzlx+8IJSgCv/v18e+/V+sYfqDuYDxW6zqwQDg63QaOCznQYySn8l5QPtl5RC8vINNHviTrTu6myNW02bUgcrnb2Qz5ONzSP7pzyqcPZC8YCos+eL13nisTt3RbY2Gtxr2pB+9cF5X+fFpALy8g085Xln8JJrDRvcXWw5+XNuieVPn8uluYf5QCevJg6cOZeHUjBh9kVemXKO0e+eZ/S755kfXTw4JiIykW/3Pjh3O7Ufa0KlKvZcPHNncGnm1RQyr6bQqGnJOnd37HK2rv3IbNrlCydxqFYD+6rVObBtFVNf7YhBf+fcyLyaSk52Jm51G5dfQSpYZtwxnAPN91eNjv5kHvoelCLz0DE01tZUD/A1za/eriUarZbMQyUHmT1MHqUW0/s++MnJyQkbGxu++uornnjiCaD40XtycjL169fHysoKR0dHVq1aRZMmTXBzc8PDw4OoqChcXFyoX78++fn5ZGRkEBkZiVKK48ePM3r0aDw9PWndujVGo5GrV6/i6lp8p5qamoq7uzs6nY7w8HDeffddevToAcCnn35KTEyMKX+/DjRvr+vt7Y2rqytOTk7Ex8eb5mVlZVFQcKe/j+a3z0IriJW1LU38+3F06xwq21Wnsr0z8bH/wb1BK1zr+2DQ6yjMv0mlKo5YWdsSHzuNgtwsug77DCubSqaWVo1GQxWHmjT27cHJA8s5uH4SPsHh5N5M49CmqTR4qivV3Z6o4NLeO4MRjp1XhHhryC9U5BZCl5ZaLmUoUq8X34RXsYV8HRiN8ExLLVUqwRd7jegNYH87plCQW1j82qQn6mjYcsRIxo1fzQfyCynRZ9NSGYzw3TlFJx8teYVGcgsUXf2sSLyiSCllv3T102JXCVbuNlBkMC/3772Q/0Gj1yu27r/J4J4uZOcYuHnLwMt9XTn1cx4/JxZgbQUO9lbk5BrQG2DnoZv07FydV/u5ErvnBt5N7Gjfqhr/WVgcaGVk6tmbkM0r/dxYuOoK128UEfZsDYxKsfdIdgWX9t7p9YrNe64zLMyd7Bw9N7L1jBpYhx9+zOGni/lYW2moam/FrVwDeoNix4EsXujqwuiXarNp53V8nnSgYxtHIj5IBCjxEv3q/9/qnHFdR07ug/NGB2sbW9p27kvs6jnYV3XCwbEGMdHTaNS0FY894Y1eryMv5yZ2Do5YW9vSoetAls18mT2bP+Upv2AunP2OPbHRPDfgbTQaDU19O7B1zYesWRpBSI8R5OXcYOOKmTTwbIGnV9uKLm6Z0djYYOvsiC7zJqqoiKRPv6bRv4bTfPFUEhesoGZIW+r0DeVIt+I3GBSmZpC2biten8zgh5ETQaPBa8k0kldvojBVWkwfFvc9MLWysqJHjx7MmzeP999/H3t7e2bPns3evXvZvn07AEFBQSxfvpyBAwcCEBAQwIoVKxg0aBAABoOB8PBwpk6dSvfu3XF1dUWj0eDk5GTaTmRkJO+++y4XL15k3bp1TJs2jaKiInQ6HXZ2xf0sT58+zcqVK7GxufNYKjExkbVr19KrVy+2bt3Kzz//zIcffkiNGjWoXr06CxcuZOTIkeTk5DBq1Cjq16/PrFmz7tfuu2ctO72O0aBn37q3MRr01PUIJKB7BAAZl0+wdfkgug5bgUs9Ly6d3olSRmI/ftEsDY3WiiHTTmFX1YWuwz4j4duZfLO4Dza2djTy6U7LzqW/PNqS7TupsNLCc220aDVwMV2x/VhxBFm3BgwItmLVbgOpmeBZp7jv5ZDO5oNTjEbFzHVGmj1WfCPSrXXJBw+f7zKQfK38y1NW9vxgRKvV8nxA8X65kKbY+l1xn8F6NTW8FGLF57sMpFxXNKmrQavVMPwZ8+rDaFTMWPPgBBN3szr2GtZW8MbgWlhZwfEzeXzyVXHXlSYNqzD9jXpMjkzi1Ll8bt4yMHVhCsNfdOWDd+pzNVPPhyvSOfnzndbVhauvMOC5Grwx2B27Klp+uljAlPnJ3Mq1rIEHd/P5+itYW2n414h6WFtpOHbqFotXFXesbtrYjlnjGzJ+1kVO/pTLjWw9Uz74hVf+WZuP3m1MxvUi5kUl878fS7auPui6vjgGo17P6kUTMBr0eP7/Lz8BJP58go+nDeHVKZ/S+MnWeHq146WxkeyIWcy2tR/hVMOdnoMn4h/UG4CabvV5eWIUW76K5MMpfbGysqZZy2CeG/BWRRaxzFUP8CVg10riQwaSuf8IuozrHAkdTrPIyQQe3Uj+pVRODBnP9b133pn9w8uTafbhZFp9sxSl15O2fjtn3nyvAktxfzxIA43/Lo0qp9ImJycTEhJCfHy86XH+yy+/TPPmzRk2bBgffPABO3fuJDc3l6eeeoopU6bQsGHxO9vi4+MZPHgwq1evxs/Pj7i4OIYOHcratWvx9vYGigdCzZkzh6SkJBwcHOjXrx/h4eGm7Q4ZMoTNmzdjZWXFyJEj6d+/PwBff/01CxYsIDc3lzp16hAaGsqiRYs4dOgQ27dvZ/HixXh7e7Nv3z7q1KnDxIkT8ff3ByApKYkZM2Zw4sQJlFIEBwczefJk7O3tmTBhAnZ2dkRERPyp/TTr6wfrS+l+GP+ClvceogCnrEwMs2Lal38wGukRNaWfNc+H/1zR2bA4Gxd78OzQkxWdDYvzbfRTbP5erqPfCm1hzRYbz7sv+IjpVvRTRWcBgB6vlm8+Nn1sOce+3ALTilJaQHyv1q9fT3R0tGmg1P0ggWlJEpiWTgLT0klgWjoJTEsngWnpJDAtnaUEpt1fPnv3hf6G2E+almv6f8aD+TZjIYQQQgjx0JFffhJCCCGEsGCWNnK+PD10gWndunX56ae/1vTeq1cvevXqVcY5EkIIIYQQ9+KhC0yFEEIIIR4mysJ+NrQ8SR9TIYQQQghhEaTFVAghhBDCgj1KfUylxVQIIYQQQlgEaTEVQgghhLBg0mIqhBBCCCHEfSYtpkIIIYQQFswoo/KFEEIIIYS4v6TFVAghhBDCgkkfUyGEEEIIIe4zaTEVQgghhLBgyih9TIUQQgghhLivpMVUCCGEEMKCPUp9TCUwFUIIIYSwYEpeFyWEEEIIIcT9JS2mQgghhBAWzPgIPcqXFlMhhBBCCGERJDAVQgghhLBgymgs178/46effqJv3774+PjQpUsX9u3bV+pyaWlpDBs2DF9fX4KDg4mJibmn9CUwFUIIIYQQd6XT6Xj11Vd55plnOHr0KG+99RZjx44lJSWlxLJjx46lUaNGJCQkMHfuXGbOnMmJEyfuug0JTIUQQgghLJgyqnL9u1cJCQkUFBQwePBgbGxsCAkJoXXr1sTGxpotd/HiRU6ePMmYMWOwtbWlRYsWdO/e/Z5aTWXwkxBCCCHEIyw7O5vs7OwS06tVq0a1atVMny9cuECjRo3QaDSmaQ0bNuTcuXNm6128eBF3d3ccHBzMltu8efNd8yKBqRBCCCGEBSvv95iuWLGChQsXlpg+evRoXnvtNdPnvLw8KleubLZM5cqVyc/PN5uWm5t7T8uVRgJTIYQQQohH2KBBg+jZs2eJ6b9uLQWws7OjoKDAbFpBQQF2dnZ/abnSSGAqhBBCCGHByvsnSX/7yP73NGrUiKioKLNpFy9exNfXt8RyV65cITc3F3t7e9NyjRs3vus2ZPCTEEIIIYS4K39/f6ysrFi6dCk6nY7du3eTkJBAt27dzJZr2LAhTZs2Ze7cuRQWFnL8+HFiY2Pp0aPHXbchgakQQgghhAWzlPeY2trasmzZMvbu3UubNm2YM2cOkZGR1KtXj2+++cas5fSjjz4iJSWFdu3aMW7cOMaPH4+fn99dt6FRSj06v3MlhBBCCCEslrSYCiGEEEIIiyCBqRBCCCGEsAgSmAohhBBCCIsggakQQgghhLAIEpgKIYQQQgiLIIGpEEIIIYSwCBKYCiGEEEIIiyCBqRBCCCGEsAgSmAohhBBCCIsggakgOTkZT09PMjMzKzor4j67H8d+4MCBLF++vNzSv5+GDx+Or68vvr6+NG/enGbNmpk+Dxw4kEmTJpW63ksvvcS8efPuc27/uvIuZ3BwMNu2bSvrbD+wQkNDWb9+PVC87z///PMKzpEQFUcCU/FAepSDaU9PT06ePFnR2XgkRUVFcfz4cY4fP86LL75I9+7dTZ/79+/Ptm3byM/PN1vn0qVLfPfdd/Tt27eCcv3nPSrltERRUVG89NJLFZ0NISqMBKYPGaPRyPTp02nbti0BAQEMGzaMS5cuUVhYyLRp03j66afx8fEhODiYb775ptQ0zp8/z+DBg2nVqhVdunRh06ZNpnm7d++mW7du+Pn50b17dzZu3Hi/iibu4kE49nl5eUyfPp3AwEDatGnD2LFjycjIMM1ft24dwcHB+Pv7M3nyZPr27WtqSbJ0nTp1okqVKmzfvt1s+tdff02HDh2oU6dOBeWsbJV1OTMzMxk/fjwBAQEEBgYyZcoUbt26ZZq/ZMkSAgMDCQwMZN68eQQHB5OQkFAmZSkrycnJ+Pr6MnnyZPz8/Pj444956623CA4Oxtvbm2effZa4uDjT8lu3buXpp5/G19eXKVOmUFRUZJr36ycMd7teyrs8n332Ge3bt8ff358JEyZQVFREYWEh77//Pv/4xz9o164dU6ZMITc3l5s3b/Lkk0+SlJQEwOnTp/H09OTQoUNA8XFu3rw5WVlZv1uXJCcn89RTT7Fs2TL8/f1p27YtS5cuNeUrNTWV8PBwOnbsiJeXF7169eLMmTMArF+/noEDBzJu3Dh8fX3p0qULe/bsMa2bnp7OqFGj8Pf3JyQkhOjoaJRSAEyYMIE33niD4OBgOnfujE6nK/d9LH6fBKYPmZ07dxIfH8+2bdvYv38/rq6uLFiwgOjoaE6fPs26dev4/vvvGTx4MFOnTjWrEAFyc3MZMmQIgYGBHDp0iNmzZzNr1iyOHDmCwWDg7bffZuLEiXz33Xe88847TJ06lZs3b/6tPFtqQDVw4EDmz59Pr1698PX1pU+fPvz444+m+Vu3bqV79+60aNGCnj17sm/fPtO84OBgIiIi8Pf3Z9y4caxfv56hQ4cyefJkWrRoQXBwMHFxcURERNCyZUuCg4OJj4837Y+PPvqIrl274uvrS2BgINHR0XfN74Nw7CMiIjh16hQxMTHs2rWLKlWqMGrUKIxGI0ePHuW9995j9uzZHDhwAHd3d44fP/6n0q9I1tbWvPDCC2zYsME0Ta/Xs2HDBvr161eBOStbZV3OUaNGkZuby/bt24mNjSUtLc3UVWDjxo2sWrWK6Oho/vvf/5KVlUVKSkqZlaUs5eXl4ezszKFDh7h8+TKFhYVs2bKFY8eO8Y9//IPp06cDcO7cOd5++20mTZrEkSNHaNCgAYmJiaWm+UfXy/0oz9mzZ9mxYwerV69m165d7Nixgzlz5pjytG3bNjIzM5k+fTqOjo60aNHCFIDHxcVRuXJl003EgQMH8PHxoVq1an9Yl+h0Oo4dO8auXbv49NNP+eyzz0z1/qRJk6hduzY7d+7kyJEjPP7443zwwQemPB85coTGjRuTkJDA66+/zpgxY0hKSsJgMPDKK69Qq1Yt9u/fz/Lly1mzZo3Zd0F8fDyrV69m/fr12Nralvv+FX9AiYfKnj17lK+vr4qOjla//PKLMhgMSimlsrKy1PXr15XBYFDJyclq7dq1ysPDQ2VlZamkpCTl4eGhrl+/rrZs2aKefvppszTnzp2r3nzzTWUwGFTbtm3VuHHj1OHDh5VOpzOl/3ds27ZNPfvss+rmzZtKp9OpCRMmqDfffFMtXrxYhYWFqRs3biiDwaBWrFihWrRooXQ6nVmec3JyVGBgoFq2bJnS6XTqf//7nwoICFAJCQlKr9erli1bqoMHDyqllIqLi1M+Pj7qxo0bd83XgAEDVPv27dWFCxdUbm6uGjVqlBo6dKhSSqmDBw8qLy8vdeDAAaXX69WuXbuUl5eXOnPmjFJKqaCgIDVw4ECVl5ensrOzVUxMjPLw8FAbNmxQBoNBRUREqKZNm6qvvvpK6XQ6NXPmTNWrVy+llFKbNm1SnTp1Uunp6cpoNKqdO3eqpk2bqvT0dKWUUh4eHuqHH34okV9LPfYDBgxQUVFRqqCgQDVr1kwdPXrUNC8nJ0c1bdpUnT17Vk2cOFFNmTLFNM9gMKjAwEAVExNzT9u536ZOnarGjx9vNi01NVU9+eSTKjk5WSml1M6dO1VISIgyGo0VkcUyUR7lDAoKUlu3blWXL19WHh4eKi0tzTTv/PnzysPDQ926dUsNGjRILVmyxDTv9vly+PDhMihZ2bl9Hf34449KKaWuXr2qbt68qYqKitSlS5fUwoULla+vr1JKqQ8//FANGzbMtK7RaFRBQUGm8/xer5f7UZ5z586Zpg0dOlR99NFHysvLSx07dsw0/cKFC6pJkyaqoKBALVu2TL322mtKKaUGDx6spk2bpsLCwpRSSr355psqOjr6D+uS29u9dOmSKf0PPvhAjRgxQilVfN7l5eWpwsJCdf78efXvf/9bhYaGKqWUiomJUR07djQ7B/v27auWLVumTpw4oby9vZVOpzPN+/LLL015Gz9+vBo9enSZ7kPx11lXdGAsylbHjh2JiIhgzZo1zJs3jzp16vD222/j6enJf/7zH06cOEHdunVp0KABQIk775SUFJKTk/Hz8zNNMxgMNGvWDK1Wy+eff87ChQsZM2YMRUVF9OnTh3Hjxv2tO8xKlSqRlpZGTEwMQUFBzJgxA61Wy40bNwgLC6Nq1aqkpaVRpUoVcnJyyM3NNVt/37592NnZMXz4cAC8vLzo3bs3a9aswc/Pj0qVKrFhwwasra1p1aoVx44dQ6u9t4cFoaGhNGzYEIAuXboQGRkJwKZNmwgNDSUwMBAobiENDg5m48aNNG3aFIDOnTtTpUoVU1ouLi48//zzAPj7+/Ptt98SFhYGQLt27Ux378HBwbRp0wYXFxcyMjKwsbHBYDBw7do13Nzcfjevln7sb968SVFREXXr1jVNs7e3p3r16qSlpZGenm62ba1WS61ate4pbUtRq1Yt2rdvz4YNGxg9ejTr1q0jLCwMjUZT0VkrU2VVzmvXrmFtbY27u7tp2u3zIzU1lfT0dLNz4Pb5YqlcXFwAyMjIYMaMGZw7d44GDRpQs2ZN02Pjq1evmpVXo9GU2v3hbtdLkyZNyrk04OzsbPrf2tqaa9euUVBQwIgRI8yOtbW1NampqQQFBbF06VLy8vI4efIkM2fOpFOnTty6dYuDBw/y+uuv/2FdAsXXfb169Uxpu7u7c+DAAQASExOZM2cOqampNG7cmEqVKpn2KxSfO7/Ol7u7O9euXSMlJYXCwkICAgJM84xGI05OTqbPNWvWLMM9J/4OCUwfMklJSTRt2pQvv/ySnJwcvvjiC8aOHYuPjw8NGzZk0aJF2NjYcPr0aTZv3lxifVdXV5o0aUJMTIxpWkZGBhqNhvz8fDIyMoiMjEQpxfHjxxk9ejSenp706tXrL+fZkgOqGjVqmP63trY2VYLXr1+nZcuWZsvWqVOHy5cvmz7/tqJzdHQ0/a/VaqlatarZ59vl0uv1vP/++8TFxeHm5oaXl1ep5f4tSz/2NWvWxNbWluTkZNMXc05ODllZWdSsWZNatWqRlpZmWl4pRXp6+j2lbUn69evHtGnT6NOnD0eOHGHmzJkVnaVyURblrF27Nnq9nrS0NFMAmpSUhEajKfWcKCgo4MaNG2VWhvLyxhtv0LNnT1auXIlWq2XHjh2mvpZubm58//33ZstfuXKlRBp3u14qgpOTEzY2Nnz11Vc88cQTQPGj9+TkZOrXr4+VlRWOjo6sWrWKJk2a4ObmhoeHB1FRUbi4uFC/fv0/rEtat26N0Wjk6tWruLq6AsU3KO7u7uh0OsLDw3n33Xfp0aMHAJ9++mmJ+urXUlNT8fb2xtXVFScnJ1N3KYCsrCwKCgpMnx+2m8cHmfQxfcgcPnyYUaNGkZKSgr29PdWqVcPBwYH8/HwqV66MlZUVGRkZpn45er3ebP2OHTuSmprKunXr0Ov1JCUlMXDgQL788ksMBgPh4eGm/j6urq5oNBqzu86/4tcB1eHDh+nduzdjx47lnXfeoVatWsTFxZn6aJbmdkD13Xffmf62b99OZGSkWSV4+PBhoqKiiI2NLTUw+zNq1apFcnJyiXL8+gvjtxXdvVZ88+bNIz8/n/379xMbG8tbb711T+tZ+rHXarU8//zzzJ07lytXrpCbm8uMGTNo2LAhzZs3p3fv3mzevJnvv/+eoqIioqKiSv3CtnTt27dHKcXs2bPp3LmzRbfw/R1lUU43NzfatWvHjBkzyM7OJisri5kzZ9K+fXucnZ154YUX+OKLLzh//jyFhYXMnTu3xHlriXJycqhcuTJarZZLly6xZMkSU5/ubt26meoovV7PqlWruHTpUok07na9VAQrKyt69OjBvHnzyMrKQqfTMXv2bEaOHGlaJigoiOXLl9OmTRsAAgICWLFiBSEhIQD3VJdERkZSWFjI2bNnWbduHT179qSoqAidToednR1QPLhq5cqVZn3lExMTWbt2LXq9ntjYWH7++We6dOmCt7c31atXZ+HCheh0OjIzMwkPD2f+/Pnlvs/EnyeB6UOmd+/ePP3004SFhdGiRQvWrl3LokWLmDJlCocOHaJly5b07dsXPz8/nJ2duXDhgtn6jo6OREdH88033xAQEEC/fv0IDg4mPDwcBwcHFixYQFRUFC1atKBfv37079+f4ODgv5VnSw+oStOzZ0+2bNnCwYMHMRgM7N69m927d/Pcc8/9rXSh+EvN1tYWrVZLdnY277//PlCy3L/1IBz7CRMm0KxZM1544QU6dOhAdnY2y5YtQ6PR4Ovry7/+9S9ef/11AgMDSU5Opnbt2tjY2Py5HVjBtFotYWFhbN68mX/+858VnZ1yU1blnDt3LpUrV6ZLly4888wzuLi4MHfuXKA4iOvdu7fpXHNwcMDa2triz4kZM2bwxRdf4Ovry8iRI+nevTtKKZKSkmjQoAELFixg/vz5+Pn5cfToUby9vUtN54+ul4oyadIk6taty/PPP0/btm25cOECS5cuxcrKCigOTG/cuGEWmObn55vqinupSxwdHQkJCeGVV17htddeo3Pnztjb2zN16lSmTZtGy5Yteeedd+jbty/p6emm7l316tUjISGBNm3aEBUVxZIlS3B3d8fGxoZPPvmEU6dO0aFDB7p27crjjz9ORETEfd574p5UVOdWIW4zGAxq1qxZql27dsrHx0f17NlTHTt2TJ04cUKFhoYqHx8fFRQUpBYvXqzatGmjDh06ZDZoRymlzpw5owYMGKD8/PxUu3bt1MyZM1VRUZFSSqn9+/er7t27Kx8fHxUYGKgWLVp0T/m6PQjhtq1bt6qgoCDT5y1btpjyFxoaqrZv326ad3twx20xMTGqW7duv5tWXFycat26tVJKqV9++UWFhYUpHx8f1b59e/Xee++p5557Tq1bt04p9fuDnx50Fy5cMBv0oJRS/v7+6sCBAxWUI1HRzpw5Yxr0p1Tx4B8PDw918eLFCsyVKC+/rdf/jN/WseLBpVHqVz2HhRCignz77bdERkayatUqXFxcWL16NQsWLGDPnj04ODhUdPZEBVi2bBm7du3ik08+oUqVKsyfP5+dO3eyY8cO6RP4EEpOTiYkJIT4+HizgVf3Yv369URHR//tblqi4sngJyHEX3bmzBn69+//u/OHDx/OqFGj7qeVd6EAAACTSURBVCmtrl278tNPP9G7d29yc3Px8PBg6dKlEpQ+YP773//+Yb/oiIgIevbseU9pDRo0iKSkJLp06YJOp8PLy4slS5ZIUCrEQ0xaTMUjqSwDKiGEEEKUDQlMhRBCCCGERZBR+UIIIYQQwiJIYCqEEEIIISyCBKZCCCGEEMIiSGAqhBBCCCEsggSmQgghhBDCIvwfRXngzDniGGoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x648 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_ad['sales_normal'] = power_transform(np.array(df_ad['sales']).reshape(-1,1), method = 'yeo-johnson')\n",
    "df_ad['sales_log'] = np.log(df_ad['sales'])\n",
    "df_ad['TV_log'] = np.log(df_ad['TV'])\n",
    "# correlation first as initial\n",
    "cor_format = df_ad.corr()\n",
    "# sort correlation around revenue\n",
    "# here is a bug for plt so there is a cutoff and use ylim to fit it \n",
    "# but the order is different so use smallest and invert_xaxis to fix this bug\n",
    "col_name = cor_format.nsmallest(8, 'sales')['sales'].index\n",
    "# use np to make the list for the correlation\n",
    "cor_num = np.corrcoef(df_ad[col_name].dropna(how = 'any').values.T)\n",
    "# making the figures\n",
    "plt.figure(figsize = (12,9))\n",
    "sb.set(font_scale = 1.2)\n",
    "ax = sb.heatmap(cor_num, cbar = True, annot = True, square = True, fmt = '.2f', \n",
    "                annot_kws = {'size': 15}, linewidth = 0.1, cmap = 'coolwarm',\n",
    "                yticklabels = col_name.values, xticklabels = col_name.values)\n",
    "plt.title(\"Correlation coeffiencts\")\n",
    "ax.invert_xaxis()\n",
    "plt.ylim(0,len(cor_num))\n",
    "plt.savefig(\"Output/correlation_everyfactor_heatmap.png\", bbox_inches = 'tight', dpi = 300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XMINXKiNIMWTrDWFrd4RruSJR6OYB0Bz1J+QATjStLub3FoRUQFYWTfA4z4Me6ygvDZ0N5XGeR7n+IjZzO4Z+qn8W2ZoMm2BxidbGAlqb4RPLOomGLBmbsaNNM+jmMYU6x4/J8LwSk1TX1qYMt1wV5Pm6OakKlNY5ooE/FunKqdrLKxiBdUYdp+FeuiLGojn11c6hCBccjSalMNR1AgcUD9AyFhBqQIo2pbE1gd5IBqu2uMWCBeszPK/ENMW4NYY1WLqrofWqNxhlEQ/8bUnbbU/twpvLSs7jQOoWGwrWiBsqCmLRT0kzy7B7/kV21W9CXsffYiFvBRXZL4CWGXP3ku79iuyqu1BKs9SlwSXkrH0zovTctrjFQgXrNa0uJinGrSWYTpU5CynLeyviPl1NrxWtLqney6spwWTl8K9TUlYhcmRlEQVtDVD6Z1uqBpu5F6/ez3etJtcxTfyzTsPWH8PWH49zVExdD76+RHdhM7/yVUbTF6V3DqpLo8wedHMPhn4ypt7NMj23tTPoRATrW7uiMm09g65wEhGcjuS7lyouqmCyQoUE8ts5srKIgkgClE1TK5sSMNvSj0ehYTNLQHn917F5dpBfPpa88knkl4/1z9xbWzgXjAY5TFwobADYzD1gVgTVpXGGmFV/7teAN6L03NbIHe9gfWtm6AENICuvQzcOJnwwtvrupVK7+WCy+vaEkUB+e0aMRRRYDWThfrCB7hV7fWdRE119i4aH6qxZZNfch27sRjf3oxu7yamaFvOlu83YjaaqgUwMm29LWw0DjZoWg3LjuQ7Aie/rYqLhjmjGH8pwWhFtG/ZoiLYmRfd+RU71XfW6Js/9E+67l2ouqmCy0q045QPyQnjEDRUl4fZ3DldF3dy9osjAtPXz79ZmM3b5UjFxgKaDMtHNA9iMXXj1yNqzN+9y2zwTxed++g26uQ+d/Rh6AV5b//r6gFcD6gOCnWtoJ2BT+9BUDdTXfIQaACJx9YRzm8Sr/5Dv81Bo6ihKyw27YZXDvZ7sKp+7TseGYStAaflJq40I9d1LxfqN5rJ2yT4ppRskCtaIsWgFwQYyqx9ssLTJStdcvI7hvvMNDY3AbW+0Jv9rRUAbCVXlu5Ce7c9E0cxT6t1PmSjbKdiMXdjNXXj1flRmFwcYikZXVctzK7JfsOws6w+ek+U7J0h8I1mZPXbvZjCrsasDvsRkvReV2QsBsBk7/Ho1Gv+sRnedUYLX1j+ptRHBvnvJKsq0QhoOphdiLGJEJD/YcEFfw1aIofXy7cesTEBhaL0wbIWWgcvAVY0De/2+4V4GAx44/GtsGb9rbItNFl77EHTzCJU5T+J1BK5cAlpoW5zbnEiC58noZdX0czL14zDpDqocDQ3NrKBT+WUBhsu09fT9redj0BebuQcNA51qKl2p5VKJRf2GIFghxiICIskyCfeDbf7+YLMtpedTmbOQ7KrZaNShyKAqey5272bLGXjTwV2jmsZQlBs0F1CBrw1fU2PmQWlZQXdla2n4Qp/b/HNqCJ7rTYLnXuwoTQ9wjyXDbdLyvsehmUfIrn0Ik9zA5pA5L/o/A6V3xosdjZoW7rpUQfaZEOKNGAsLonGXBPvBRv/+t4LurhduBt50cFeaE1/Vt0ZDjyvQMGyFEc8+217lnIdhK8BmlDQJnjfOxpPlNgl+XwMNW2DAW9WhaXWBn4GmU+UqTklD0YC4fYR4IsYiDK1xlzT9wbb1/ZG2zWg+uJt6T1CgU+kbHLs9jqrOj2r22dYqZ6XlhwyeBzNG1Zmz/HUm8ZoVB72v60FcNfOCGi7D2V9m64JQjxiLMLTVXRLwfuXFl4XjaVF8F4u2Gc0H94b7N89EiWb2Ge1MNXgQP/hsPKBjrXcHrpp5aLXxD3YHM4JKywm5iorVbD1VCuYEobWIsQhDW90lDe/XjEPY1NeAAWg4a1aR4V0b4Jry2ge3GEys3EHNB6DmA1syXBLRrEiUno9pQm7NlIQGu5t/TuHSoWMxwLennk6CEAoxFmFoa5aJ0vOpzppFXuWNgAdfkNlOdl0xHv00f1ppTtU0FC40TWsxmIQayFJ5AIpmNp4qNQLNZY7V55uszC9BiDVSwW1BtNXEzauWTb07PiORhcKFzz57mrzBgW4eQKFCVt82b5uR6Ird1lZiR3JdzSxHKZVSezzE8vMNVzEer881VqS6fEJikZVFBEQ6Uw42G1VaDqDQ8GUl+arlFKhaIBdNVfjK7rQ830UimFkHnY2b1di9/8BrL4rpjDVeK5iAIkKq0cxqfxFhLGoE2uJCima1Y3WfUK5Mm3cHuTVTUnJlCKm9chWSg6wsYkSo2ajCiULRWImtATZ0TavvmwOG1gv/aiOCmXXzRm2acQjd3ENO9QOtbiIXbBYZq5bsVtc1teNAd1GR/WRMekG1talepDvaRXKfYH2SqjNn4aqZn7CVYbSkWq8pIXLiuRpMqLHYsmULkyZNYsSIEZx//vksWrTI54JoxieffMJpp53G0KFD/f8WL16cSFGjJrS74SBKOwFFJooMFJmY2klU5DxNee5yyvLeojJnYVRdVgMGIPMINrXP1zpcO75VP+xQg160Tffacl3QUHpugKutNV/6WAx0kXS+jeY+zV2ZhuOUNn2u8aatz11IDvHuPJwwN1RVVRVTp07ltttuY+XKlezbt48pU6Zw3HHHce211wac+/nnnzN27FiKi4sTJV6bCeVuMPRTMfVOKJUPmg2UgaYpDFuhf/BpTU1Dw3vs3n+QU/0ASjve90KQvTEwCqG+oro5YQOwKgOl3KAqQM/16aQUmlmOppWFlTPcda2yzNriAolVwNzqmUR7n6auTNMkKUWJkZKqvaaE0CQikSJhK4uDBw8ybNgwrrvuOmw2G3369OHiiy/m008/bXHu1q1bGThwYKJEazMNfuvqzFktZqOmvbdvlqopdNxomgq6coh274eGexr6qSgcLVwmNm/j3hh8dV7IWUaoWaTT/SZ5ldeh4cZubsdm7EM3v0OjmtyqaZYzl3Cz09a029a9X0W00ojUhRQJ4Z5JW+4T7z072koqyCfB9ehIxGowYSuLfv36BbiS3G43H374IVdeeWWLc7dt20ZFRQUvvvgiAJdccgnTp0/H6XQmStyIaT4Lrs6a1aIra6z79jS/Z53jx2R4Xgmohs6uvhfdPAjo4FbkeKdRZl/fooZAqQzfoGeWoWkmSukoFK7ap31dZ/UTMbV8dFUBODC1bP9sM9zMxWp2GlW7bfMIeRUT0TSn5UojUU312nqfVO/llEz5JLgePYlYDWoqWNAgzrjdbmbMmMHXX3/NSy+9hMvlCnhtypQpjB07liuuuILDhw8zbdo0zjrrLGbNmpVoUcNjlMHeC0Fzgp4FRqWvPfiJ/wfO3i3P9X4D9h5gs/jhhTvXKIOvfgBoYMv1VYYrN5zwuu+LYu8B7h2w93zQ7PjcT4bvvJPXQ1YRVL0Hh++ChsC73gtq3mq8R/bV4N0eeG/PN77/d/QIlKXXy5AxILgeVevg8K8b79OtGLIvDK8vtPxM3Z+D8zSfvmaNT9+T14X/HKP5vK3kCXedttxHaEnz31Skz1uI/PfWShJuLEpLS7n99tsBWLJkCZ07d7Z8z9tvv82CBQtYt25dxPc5cqQS04xeta5dcyktjWyTFpuxg7yKn2Fq+WiqzN84z6v3piq72D8bCjdTap562XTPa4VBtetB3Bnj/PfMqH2R3KoZNOyxYOh90TSN8tzlGLb+ANg9/ya//BKfe0rT0TFRykNZ3v9h2Ar9zQnRssAsw2FuRZGJz7CYgImp9w1YRWiqFk0Dk8zGY3g4lhfeJxoutVQzy3C638RV+zQNXXGrXI8A+GbsmIAbzazDsJ1U3zLFja5qKM9bwXE9hkf8rCIl3L4giZjhRvP9a09EqlfT31QDuioL+H6nCqn4rNqUMq5rHH98TujX2ypcNOzYsYMJEybQp08fVqxYEdRQHDx4kPnz5+P1ev3H6urqUtIF1bj0q8RmlACgsKHI8mfGhMuaaZ694KxbS3b1/WDWoJtfYTP3kls5GWftWsD3RXDVPo1Cw/fodGxmCUop/3LTXwyo9cC/osDw743R3LepaWa9NjZfAF5zoAG1GVcH+qyz51Lpmhu1H7vB7w8E+KAd7vV0OjaW3KoZ6Mbu+uoT32fjtQ9uzB7KeRVT74RmHMJubMFubEM392Dz7IzRU2wk8FnloJsH0dU3mORI+miCiGXMqSMSbewzGhIWszh69CiTJ0/m8ssv5+677w55XqdOnXj99dfJzs7mlltuYd++fSxZsoSJEycmStSIafBb51T/Gg0DhQ1D7wt6Lpoq8weXAn3wDjSzHJtnE9k1DwRkL7iqH/SZAbUf0H1uJOUmu/ZBPM5R9dfTMGz9/MYJTGoybw3aDl1pXUFzotszqcz4rb8XU8D2rkr3XwdsoLwoNOqcE6nNnNJiltIaP3aLuE7mLFy181Co+hWS7tuFzj6oMaPI1t+fPVSdNYvcysn1V9Mx9BNx1c4DYwyhsrxag9W+IMneqrQjIBs5pS4JMxZvvPEGpaWlvPTSS7z88sv+4+eeey4XXXQRc+bMYdOmTbhcLpYtW8a8efNYvnw5WVlZXH311UyePDnM1ZOHx3kex/RXyauYiCKrMcW0yWyoYXDWqMNm7EJDkVM1E00zUPqJvgtpWWhmBVAJGKBpoAx8A5atcYBGR+GoH1h91d/ujEtbps7pGWiqlsqcJ+ncfSie73yDaosfo6ZT6/gpGZ7X0JRRP5jf6+8U23xgjKbvky+jZTc51b/xBcsbAuO1D4KyobROgeerChS2FrNIw34Kpq1v/c59TsCOrupjBZwQ8bOywmpfEJnhJoZUD/53VJIS4E4EiYhZNMVZt7Z+ZWBDaY4A/7bD/QE51bPRjV34ZsYFKOzYze14bQNAy6nvTLsPRTY639ZfVcfQeqH04/2xAYf7A78/v6kfPZyvN5hvv8G36WsPPh9N1QJ1VGXehzvr6qj1b05j7KUa3dyHYTsFpTVkPB1BKQOl5aKpWmxmCWBi2vpR6ZrbIi6gmWWBcZb6eImjYD2l38VuZeGTu/HzbU8xi1RvgZ6K/v22km46WcUspDdUlAT7UTrc6337MWi+zKPqzPsDBhWP8zwqtEXkVv4CU+tSn6UESnVHpxrMOnS1D1M/Ad08iMKJhgeFA10doSLzMcs03EhT55rKb2rdGtuD63k+V1jdIjwZo9vUpjtwldMFnf3YjF147UNA+fSqdt1f/5lpGHoBtRk34XUMx7AVtrheKNdEvi0f35axsSPcviCpOAiDpJoKiUGMRRQE+1F67YObDIz1A27tPDzOUQEDLigUGfh6QNlB1WDqnSjPeRGbub2+CjsLzIP1sQQ7Xr0vOgrDcUqAHMFcQZH4epvLX5MxNWwVcmsHoea1EoZegN3chW4eQWlZ/ut4HKMCVzfuP4a8T7z3nGj+WSZ7X5BIkRboQqIQYxEhoX6UldlPRDzgQiWaUQZ6nt9VZdp7o8xOvuuq+swk5cXnK3egNBWxnzycrzeY/Fm1T9c3wm25GmlxvllBdtWvKddftdyHuvkqR2mZePV+VOY8iWHr10yuclzVv0VpmZaDXQsjWfUencpnRmzMUt1V0xpSZT8QIf2RrrMREqqcvqE+IFiqX8CAC+jmIWx8C7ipzpzlH9ga2yuYmHo3wERpXUO2BglHqNS5oPJrGtWZtwVNh216vmYexW7uxG5+RafKiZYNyoK2i8iei9cxIsB116n8MnIrb8Fu7qqPmTR+rlZtCjSzDA7fFTQlORjxbrKWLCTVVEgUsrKIkJCNAm2FId0/NmNH/azPgc37X8COwsQko4WrqumqQKkMNK0utq6VYE0B0XE7x+F2jgvw0duMHU3agFRgM/f4roENE1dEbo6IVzm6C93ch83chVc7E5+7znqw8xkTFWj8wuw5ka6uGkk1FRKFGIsICfejbBgYbcZuQGHY+gFN9uBWzYKwWh4alS0GtmjSUqOi6j3yKmei4cZm7kWp7ph6p4BBJViMos7xYzLcKxtrSGwFvsyt+hoSK1lD6RNQz6B88RyNOuzGfzD1E6nMXmg52PmMiRZRL5x0d9VIqqmQCMRYREG4H6rCL8QAACAASURBVKXduzloMNhXtDcbMACFoRcAnoS5Cpq6a/xNAammPOfFgNhDsNl3hucVKnJeIK9qMiYu0HJi4uZoWfnuq3r3aiejYcdrH2x5DaXnQ7ditAMzLGfUHaHldtwmGoJQj8QsoiRYTCBYS4+c6tnYPf/G0PtQkf0klVmPYOgFaJoW15bPzVs7N7prHL6qZC0TcKJpdQHvCxmT0TOodBXXxxHCt/mItK10wypNpxoNA/BlTGHriqZp2IzdkbWnzr4w5P7oTWVJhZbbgtDekZVFBFhl0TR3c2jUoRu7yCufhMZ3mFoPlJ5Pdda9mLbu+Fp2tKwnaCuhUnsxK7F7t+ObG5iYes8Ws+pws2/D2d/SzRFtmm2oynfMKnKrbqdpY8Fw1wk2ow4li7hqBKH1RGwsnnrqqaDHNU3D4XDQvXt3zj33XI477riYCZcsmhqHUO6lpgQOtA5sxi7ARMfX1tum9mGYDrJr7kXhQtMiGwhDyRRqVh8siFue8yKoZnuABylstwqUhnNztDaAbNp93Xl99yzzbbHbrLNttIFoK1k6uqsmHdOHhcQQsbHYs2cPb731Ft27d+eMM84AfJsUHTx4kCFDhlBRUcGjjz7K888/z5lnnhk3geNO09x9pdCoxtSOCzsIBgy0ZjkavhZ5vgFaAxS62o+mTDx6P5TWOaqBMJJZe6ggrs3cDrZcvKob4Aac6EGC69D6QGlbAshN76mZ5eRWTYsowykesrR3rAyBVHoLbSHimIXNZuPKK6/k3Xff5amnnuKpp57i3Xff5Sc/+QkFBQW8+eab3HjjjcybNy+e8saVlrn7Ct08AJqj/oTQNQAe53kcy1tDRc4zeLUTaeyG2jCNN+qvkWd5reYyhWpx3pRQ+faGfio+g+UBzYVVcL01LY7bmuvfcE/D1q/NNQMdte7Aqo4k0u+RIIQiYmPxzjvvcPPNN2O3Ny5GdF3nxhtv5K23fLusXX755Wzbti32UiaIlrn7eb61QUPqq8XAo/R8vI4RVGf/Dz6fe32nVxyAjqn1xNfuw/paTWWKZG/dUEFc097blzUUx+BurALIsbhORwxmR2IIErFHs5DeROyGys/P5/PPP6egoCDg+NatW8nJ8XUqPHbsGFlZWbGVMIG0yN3Hg6H1qjcYZREXPLkzxlGhXqhvxe1bW1S7fP/tO1aNwhHRtaJJ+wxW2KeZZf6soXj6qmMVQI7FdTpaMDsS11tHSB8W4kvExmLKlCncf//9bNu2jTPPPBPTNPn888/505/+xB133MH+/fu57777uOCCC+Ipb1wJlrtfmbMQr31w1AOPO3Ocf8Mif6C85n7fPg4YVLvuj8hfHG2FrtLz0d2BQXlyHkfp3wsboG7rwBrLwGksAtEdKZgdiSFI90pvCdzHn6j2s1i7di0rV65k+/btOBwOTjnlFG666SYuvvhi/vGPf7Bu3TqmTZuWEquLtuxn8e2hfTH94oXaj8Fq/+rm14hEpmD3ctoNvnX9JaKgZ3XmLAzHKW3aCS9RgdN0208AWq9TqH1OmpOsQTWez0q+f7HBaj8L2fyoGfH4AiRyE/pg93LaKvgu67kW92puWDTzMDZzL6bet8UGTqGIhSFsLVbPqj3ONtvy/UtlfeM1sKby96+9YWUsoqrg/uCDD5g0aRJFRUUMHz6cq6++mrVr17ZZyHQnkRk6/oaBZmNQHrSwPZN88RkvNvPrenmzIs6WSdXAabp2mQ1HazLZ2jup+v1LRyI2Fm+88Qa33XYb/fv35/777+eBBx5g4MCBzJo1i9WrV8dTxnZPojJ0HO715FVeh4Ybu7kdm7EPDQ90K7bsmaThxrfntA44I/7RpWKqqqSJdhxS8fuXrkQc4F66dCmzZ8/m2muv9R8bP348/fv3Z9myZVx++eVxETBdiHeGTmDb78CGgcdnnwHVFf7zmsrQGPT0pfQa2gmg2SP+0aVi4LQjF+Z1NFLx+5euRGwsDhw4wLnnntvi+DnnnMP8+fNjKlS6Es8MnZYDZA4ob0DDQH8gUHnqM7IexJ0xzm/EbN6duGrmoUeRJgypl6oqaaIdi1T7/qUrERuLPn36sGHDBk4++eSA4xs2bKBnz54xF0yIDqsBsmHlgVmDrvYDJrmVk6lQL+DOHIeBz9/dsC92tD+6VEpVldlmxyOVvn/pSsTGYurUqdxzzz3s3LmTIUOGALBp0yZeeeUV5syZEzcBhciwGiB1dRhNeeoNhV7vanKTXftgwI596fKjk9mmIMSWiI3F2LFjMU2T5cuX8+qrr5KRkUFBQQELFy5s14V4qU4k3WYbXg83QPpWHgZg1huKhmC2LW19+eli+AQhFYhqP4tLL72USy+9tNU327JlC/PmzWPHjh3k5OQwYcIEfvWrX6FpWsB5Bw8e5L777uPTTz+lc+fO3HbbbUyYMKHV922vWBUbhXo92ACp9HyqXQ+SWzkZlBvQMfQTAYf48gVBsCSssViwYEHEF7r77rvDvl5VVcXUqVO57bbbWLlyJfv27WPKlCkcd9xxARlWANOnT2fw4MEsWbKErVu3MnXqVAoLC/3ur46A1b4MrdlDIqBnFTaIsD+VIAhCWGPx2WefRXSR5iuDYBw8eJBhw4Zx3XXXAb6A+cUXX8ynn34aYCxKSkr47LPPeP7553E6nQwbNozLLruM1157rUMZC6v0z9amhzbvWZVIQ5EKFcapIIMgtEfCGouVK1dGfcGnnnqK66+/nk6dOgUc79evH4sXL/b/7Xa7+fDDD7nyyisDzispKaFHjx7+TraAf7+MjoRVdlNb0kPj4ctvDxvvpIIM7R0xth2XmO/B/cILLzB+/PgWxqIpbrebGTNm4HQ6W7igqqqqyMzMDDiWmZlJTU1NVHKE63FiRdeuua1+b+zIhZzH4fCvgQpAg26P0yX7pAhfDySuOlW9B4fvgobdAbsVQ/aFja8bZbB3DjgyQc8Cs4Z89wPQYx3Y2jbgRKxXHGWINanx/QuC1XO2IGX1agPpqFMoYm4srPoSlpaWcvvttwOwfPlyXC5XwOsul4va2tqAY7W1tS3OsyKVGgm2nu+huf7SOJOrzvdXYkf2uo946uRr5DYzsJHbgRkBjdxsxm7yvF5MLQffjoFOdFVNeenuNjVSjEavtsqQqBl1an3/GonkOYcjVfVqC+mmU0wbCbaVHTt2MGHCBPr06cOKFSvo3Llzi3MKCws5dOgQVVVV/mMlJSX069cvkaKmDFbN4SJtHqeZZdiMHTHvjxRJI7dU6N/TFhk6YlPC5kjDPiFhxuLo0aNMnjyZSy+9lHnz5uF0OoOeV1BQwMCBAykuLqauro5NmzaxZs0axo8fnyhR04+q9+I22EUyCKfCVqetlUGaEvpIBYMvJJeYu6FC8cYbb1BaWspLL73Eyy+/7D9+7rnnctFFFzFnzhw2bdoEwKJFi5gzZw6jRo0iLy+Pe+65hxEjRiRK1LRCM8vg8F1hU2zb4mKJtLVGKlRUt0YGaUroQ1qoCDHf/Gjo0KGsXr2ak04KHmhNFOkRs2g7NmMHx9XcjNtoDMTpqoyK7CdRei42zw5ctfPbnCGUjCyZRDwr/+Y6SgPNBspA01TcNtdJ9e9fa59zquvVGtJNJ6uYRcJWFkJy8LkJtIAUW8wqcqtuB2Wim3sw9JMx9W4RFfaFIl1bayg9nzrHRFy1v0VDodCozry3w86o0/U5C9bEPGbRt29fHA5HrC8rtBKl50O34kZfvaoFDUwyMetdK74d8rwStAyCZpaR4XkVr20AXvvpeG0DyPC80uFiFoIQsbEwTZPXXnuNgwcPAvD0008zbtw4Zs+eTWVlpf+8VatW0aNHj9hLKrSe7As5lreG8tzlVOY8CVp2fVaLE99XwPTtlCdByxY0ZgHloHCBliMGVeiQRGwsfve737FgwQKOHDnCxx9/zOLFi7nooovYuXMnjz76aDxlFGJAQ4qtYevXpPLb7tsZD9DqN7qXoGUgkgUkCD4iNharV69m4cKFnHHGGaxdu5aioiLuvPNOHn74YdatWxdPGYUY0jyFFD2LipwXKM9dwbG8NdL+ohmpkPYrCKlAxAHu8vJyevfuDcBHH33EzTffDPgqrr1eb3ykE+JCKqSxtifk8xKEKIxF//79+dOf/sRxxx3Ht99+y4UXXkh1dTVLly7l9NNPj6eMQhyQrJbokM9L6OhEbCzuuecebrvtNsrLy7nppps4+eSTefjhh/nkk0949tln4ymj0E6RDqWCkD5EVZRnmiYVFRX+jrJHjhyhU6dO2O2pV64hRXmNJEOnRLQDl2fVfkhHvdJNp5g2Eqyurmbt2rU8+uijfPfdd3z22Wd88803bRYylYlXA750RvopCUL6EbGx2LNnD2PGjGHFihW8/PLLVFVV+Rv8bd68OZ4yJg3pNto6pEOpIKQfERuLRx99lEsuuYS3337bX6FdXFzMuHHjmD9/ftwETBYyO2496VSbICtLQfARsbHYvHkzkyZNCjimaRo333wzX3zxRcwFSzYyO249yahNiMegLitLQWgk4sh0ZmYm3333HX379g04/uWXX5KdnR1zwZJNW/a4FhJbmxCPYHrTlWWo1u6C0JGIeGVxxRVX8D//8z/++MR3333He++9x4MPPshll10WNwGThVTutp1Id/FrC/FyF8rKUhACiXhlMX36dDRN44YbbsDtdvOTn/wEu93OT3/6U+688854ypg04jE7bk+1B+1B1nhtTiQrS0EIJGJjYbfbmTlzJr/61a/Yu3cvhmFw8skn43K54ilf0oll5W4iag9iRXuRNV6DuuwMJwiBhDUWH3wQPqB36NAh/3+fd17qDSSpRHvygbcnWeM5qEtPKEFoJKyxmDp1akQX0TSN//73vzERKF1pT3s5tydZIb6DuvSEEgQfYY1FOqbEJov25ANvT7I2IIO6IMSXqNp9eL1eDh06xIEDBzhw4AD79+9nz549vPnmm/GSL21oT9lV7UlWQRASQ8QB7vXr1/Ob3/yGo0ePtngtLy+PSy+9NKaCJZN4ZQG1Jx94e5JVEIT4E9W2qt///vd55ZVXyMnJ4Y9//CO/+93v6NKlCw888EA8ZUwsVe/FtWo3EbUHsaI9ySoIQnyJeGXx5ZdfsnDhQgoKCjjttNOoqalh7NixOBwOlixZwrhx4+IpZ0LQzDI4fFe7yAISBEFIJBGvLDIzM7HZbAD06dOH7du3A3D66aezZ8+e+EiXYHzVuUqqdgVBEJoRsbEYMWIEixcvpry8nDPOOIN33nkHj8fDP/7xD3JyQm+YEYwtW7ZQVFQU8vVPPvmE0047jaFDh/r/LV68OKp7tAZfto+WFt1SBUEQYklU26r+8pe/5NVXX2XSpEmsWLGC4cOH4/F4omr38dZbb/HAAw9gGEbIcz7//HPGjh1LcXFxxNeNBUrPh27FaAdmSNWuIAhCEyI2Fn369GHp0qVkZGSQmZnJjBkzeOyxx7jiiiv4xS9+EdE1nnjiCT766CNuvfVWFi1aFPK8rVu3Mnjw4EhFiy3ZF3IsT7KABEEQmhKxG+qNN95gzJgxlJSUsHPnTqZPn06nTp14/vnnWbp0aUTXmDRpEqtWreL0008Pe962bdv4+OOPueCCC7jgggtYsGABbrc7UlHbjGQBCYIgBBLxyuLZZ5/l/vvv5/vf/z7z58+nT58+vPzyy3z88cfcf//9EbUG6d69u+U5brebnj17Mnr0aK644goOHz7MtGnTME2TWbNmRSpu2I3HrejaNbfV701V0lEnSE+90lEnSE+90lGnUERsLPbt28f5558P+BoMjh49GoC+ffvy3XffxUwgp9PJypUr/X/37t2bW265hQULFkRlLI4cqcQ0VdT379o1l9LSiqjfl8qko06Qnnqlo06Qnnqlm066roWdZEfshurZsydbt25ly5YtlJSU+A3HunXrOPnkk9ssaAMHDx5k/vz5eL1e/7G6ujqcTmfM7iEIgiBER8QriylTpjBt2jR0XWfYsGEMGTKERYsWsXTp0phmLXXq1InXX3+d7OxsbrnlFvbt28eSJUuYOHFizO4hCIIgREfExuInP/kJgwYNYv/+/Zx77rkAnHvuuYwePZpTTz21TUKsXr2aOXPmsGnTJlwuF8uWLWPevHksX76crKwsrr76aiZPntymewiCIAitR1NKRe/YbwdIzKKRdNQJ0lOvdNQJ0lOvdNMpZjELQRAEoeMixkIQBEGwRIyFIAiCYIkYC0EQBMESMRaCIAiCJWIsBEEQBEvEWAiCIAiWiLEQBEEQLBFjIQiCIFgixkIQBEGwRIyFIAiCYIkYC0EQBMESMRaCIAiCJWIsBEEQBEvEWAiCIAiWiLGIEZpZhs3YgWaWJVsUQRCEmBPxTnlCaBzu9WRX34+GiUKnyvUIHud5yRZLEAQhZsjKoo1oZhnZ1fejcGBq+SgcZFffJysMQRDSCjEWbURXh9EwQcvyHdCy0DDR1eHkCiYIghBDxFi0EVPrhkIHVeM7oGpQ6Jhat+QKJgiCEEPEWLQRpedT5XoEDQ+6KkPDQ5XrEZSen2zRBEEQYoYEuGOAx3kex+xr0NVh30pDDIUgCGmGGIsYofR8DMRICIKQnogbShAEQbBEjIUgCIJgSVKMxZYtWygqKgr5+sGDB5kyZQpDhw7lwgsv5LXXXkugdIIgCEJzEm4s3nrrLSZPnozH4wl5zvTp0yksLGTjxo0UFxczb948Nm/enEApBUEQhKYk1Fg88cQTPPfcc9x6660hzykpKeGzzz7jjjvuwOl0MmzYMC677DJZXQiCICSRhBqLSZMmsWrVKk4//fSQ55SUlNCjRw9ycnL8xwoKCti5c2ciRBQEQRCCkNDU2e7du1ueU1VVRWZmZsCxzMxMampqorrX8cfnWJ8Ugq5dc1v93lQlHXWC9NQrHXWC9NQrHXUKRcrVWbhcLmprawOO1dbW4nK5orrOkSOVmKaK+v5du+ZSWloR9ftSmXTUCdJTr3TUCdJTr3TTSde1sJPslEudLSws5NChQ1RVVfmPlZSU0K9fvyRKJQiC0LFJOWNRUFDAwIEDKS4upq6ujk2bNrFmzRrGjx+fbNEEQRA6LClhLFavXs3QoUP9fy9atIj9+/czatQoZs6cyT333MOIESOSKKEgCELHRlNKRe/YbwdIzKKRdNQJ0lOvdNQJ0lOvdNOp3cUsBEEQhNRDjIUgCIJgiRgLQRAEwRIxFoIgCIIlYiwEQRAES8RYCIIgCJaIsRAEQRAsEWMhCIIgWCLGQhAEQbBEjIUgCIJgiRgLQRAEwRIxFoIgCIIlYiwEQRAES8RYCIIgCJaIsRAEQRAsEWMhCIIgWCLGQhAEQbBEjIUgCIJgiRgLQRAEwRIxFoIgCIIlYiwEQRAES8RYCIIgCJaIsRAEQRAsEWMhCIIgWJJQY7F9+3auueYahgwZwpgxY/jggw+CnvfJJ59w2mmnMXToUP+/xYsXJ1JUQRAEoQn2RN3I7Xbzy1/+kuuvv56VK1fy4YcfMn36dN58801OOOGEgHM///xzxo4dS3FxcaLEEwRBEMKQsJXFxo0bqa2t5aabbsLhcPDDH/6QoqIi1qxZ0+LcrVu3MnDgwESJJgiCIFiQsJXF7t27KSwsRNM0/7GCggJ27tzZ4txt27ZRUVHBiy++CMAll1zC9OnTcTqdiRJXEARBaELCjEV1dTWZmZkBxzIzM6mpqQk45na76dmzJ6NHj+aKK67g8OHDTJs2DdM0mTVrVqLEjTmaWYauDmNq3VB6frLFEQRBiIqEGQuXy0VtbW3AsdraWlwuV8Axp9PJypUr/X/37t2bW265hQULFkRlLI4/PqfVsnbtmtvq9wal6j04fBegAA26FUP2hbG9hwUx1ylFSEe90lEnSE+90lGnUCTMWBQWFvLcc88FHCspKWHo0KEBxw4ePMiKFSuYOXMmdrtPvLq6uqhdUEeOVGKaKmo5u3bNpbS0Iur3hUIzy+hUPhOFA7QsUDVoB2ZwLG9NwlYYsdYpVUhHvdJRJ0hPvdJNJ13Xwk6yExbgHjlyJDabjWeffRa32826devYuHEj48aNCzivU6dOvP766zzzzDN4vV727NnDkiVLmDhxYqJEjSm6OoyG6TMUAFoWGia6OpxcwQRBEKIgYcbC6XSybNky1q9fz1lnncVjjz3GE088wUknncTq1av9KwyXy8WyZcvYsGEDI0eO5Prrr2fs2LFMnjw5UaLGFFPrhkIHVR+bUTUodEytW3IFEwRBiAJNKRW9r6YdkCpuKACH+wOyq+9Dw0ShU+V6BI/zvJjeIxzptlxuIB31SkedID31SjedrNxQCYtZdGQ8zvM4Zl8j2VCCILRbxFgkCKXnYyBGQhCE9ok0EhQEQRAsEWMhCIIgWCLGQhAEQbBEjIUgCIJgSdoGuHVdsz4pDu9NVdJRJ0hPvdJRJ0hPvdJJJytd0rbOQhAEQYgd4oYSBEEQLBFjIQiCIFgixkIQBEGwRIyFIAiCYIkYC0EQBMESMRaCIAiCJWIsBEEQBEvEWAiCIAiWiLEQBEEQLBFjUc/27du55pprGDJkCGPGjOGDDz5ItkhRs2XLFiZNmsSIESM4//zzWbRoEUop3G43c+bMYeTIkYwcOZK5c+diGEayxY2a6upqxowZw/PPPw9ARUUF06ZNY8SIEYwaNYpnn302yRJGzuHDh7n11lsZPnw4o0aNYuHChQDt/llt2bKFq6++muHDh3PhhReycuVKoP3qtWXLFoqKivx/W+nx9ttvM3r0aIYMGcJ1113Hl19+mQSp44QSVF1dnbrgggvUCy+8oNxut3r33XfVkCFD1Ndff51s0SKmsrJSnXXWWWrlypXK6/WqPXv2qAsvvFC9+OKLqri4WE2aNEkdPXpUHTx4UI0fP14tXbo02SJHzezZs9WAAQPUc889p5RS6s4771R33HGHqq6uVrt27VLnn3++Wrt2bZKljIwJEyaoOXPmqLq6OrV371513nnnqTVr1rTrZ2UYhjr77LPV66+/rpRSatu2bWrIkCHqn//8Z7vUa+3atWr48OFqyJAh/mPh9NixY4df37q6OvX444+rsWPHKsMwkqVCTBFjoZT68MMP1fe//31lmqb/2C9+8Qu1ZMmSJEoVHTt37lS33nprwLG5c+eqGTNmqFGjRqn169f7j//f//2fGj16dKJFbBNvvfWW+ulPf6omTZqknnvuOVVVVaVOO+00tXPnTv85zz33nPrZz36WRCkjY/PmzWrEiBGqrq7Of2zv3r3q0KFD7fpZfffdd6p///7qtddeU4ZhqP/+979q2LBhavPmze1Or8cff1xdeeWV6vnnnw8wFuH0KC4uVnfccYf/Na/Xq4YPH67+/e9/J07wOCJuKGD37t0UFhaiaY1dFwsKCti5c2cSpYqOfv36sXjxYv/fbrebDz/8kAEDBlBaWkphYaH/tYKCAr766ivcbncyRI2aAwcO8Nhjj7FgwQJ03feV/eqrrzBNk759+/rPay/PbOvWrfTv358nn3ySc845hx/+8Ie88847ZGZmtutn1blzZ6699lp+85vfcMYZZzB+/HgmT55M3759251ekyZNYtWqVZx++un+Y+Xl5WH12L17N/369fO/ZrPZOPnkk9m1a1dCZY8XYizw+cIzMzMDjmVmZlJTU5MkidqG2+1mxowZOJ1Oxo4dC0BWVpb/9aysLJRS1NbWJkvEiDEMg7vuuotp06Zx4okn+o9XVVXhdDqx2Wz+Y+3lmR07doxNmzbhdDpZt24dixcv5vnnn2fdunVA+31WpmmSlZXFY489xubNm1mxYgV/+MMf2qVe3bt3b3GsuroaCK1HsHEkKyvL/772jhgLwOVytfjS1tbW4nK5kiRR6yktLeWGG27g22+/Zfny5eTk5AAE6NcwoLYH/ZYsWUL37t0ZP358wHGXy4XH48E0Tf+x9vLMnE4nWVlZ3H777TidTgYMGMBVV13F66+/DrTfZ/XOO++wceNGLrvsMpxOJyNHjkwLvRpoMBKh9MjKyqKuri7gPTU1NWRnZydOyDgixgIoLCxkz549AcdKSkoClpTtgR07djBhwgT69OnDihUr6Ny5M506daJr166UlJT4zyspKaFPnz7Y7am/99Wbb77J+vXrGTFiBCNGjODf//43CxcuZOXKlWiaFpBt0l6eWUFBAaZp4vV6/ce8Xm+7f1YHDhxo4Vay2+0cd9xx7VqvBqyeT79+/QJeMwyDvXv3Brit2jNiLICRI0dis9l49tlncbvdrFu3jo0bNzJu3LhkixYxR48eZfLkyVx66aXMmzcPp9Ppf+3yyy9n8eLFHDlyhEOHDvHMM89wxRVXJFHayHn77bf59NNP+de//sW//vUvhg8fzrRp05g7dy4XXXQRv/vd76isrGT37t28+OKL7UKvUaNGkZeXxxNPPIHb7eaLL75g1apVjBs3rl0/q1GjRlFSUsLLL7+MUorPPvuMV199td3r1ZRwelx66aW8//77fPLJJ7jdbp588km6dOnC4MGDkyx1jEhqeD2F2L59u/rpT3+qhg4dqsaMGaPWrVuXbJGi4oUXXlD9+/dXgwcPVkOGDPH/u/3221Vtba166KGH1Nlnn62KiorUo48+qrxeb7JFbhXXXXedP3W2rKxMzZgxQxUVFalRo0apZ555JsnSRc7evXvVz3/+c1VUVKTOOeccv07t/VmtX79eXXnllWrYsGFq9OjR6s9//rNSqv3q9fe//z0gG8pKj7/+9a9qzJgxasiQIeraa69VJSUlyRA7Lsi2qoIgCIIl4oYSBEEQLBFjIQiCIFgixkIQBEGwRIyFIAiCYIkYC0EQBMESMRaCIAiCJWIsBEEQBEvEWAiCIAiWiLEQBEEQLBFjIXQITj31VFatWsVVV13FmWeeyeWXX86mTZv8r5eWljJt2jSGDh3KOeecw7333ktFRQUAV1xx1bEWVgAABktJREFURcCWrQ8//DDDhg3zb6dZWlrKgAEDOHDgALt27eL6669n6NChnHXWWdx7773+FtWLFi3illtu4ZFHHmHo0KH84Ac/YPny5QFy/uEPf+BHP/oRZ5xxBkVFRdx9993+969atYrx48ezdOlSioqKOOussyguLg7Y1vM///kP11xzDWeeeSajR49m2bJl/s68q1at4sorr+TXv/41w4YNY8mSJXH4pIV0RYyF0GF48sknmTZtGn/5y1/Iyclhzpw5/tduv/12AP73f/+XJUuWsHfvXu68804AfvCDH/D3v//df+7GjRuprq5m27ZtAHzyySf069ePXr16MXPmTHr16sVf/vIXli5dyoYNGwIMzccff8zBgwf585//zIwZM3jiiSdYtWoVAGvWrGHRokXMmjWLv/71r8ydO5d3332XP//5z/737969m/fff58//vGPzJ07l1deeYWnn34agCNHjjBlyhTOP/983nzzTe69915eeuklnnvuOf/7t23bRl5eHq+//nqLtu+CEJZkN6cShETQv3//gD2f3333XdW/f39VV1enNmzYoIYMGRKwzek333yj+vfvr3bs2KH++c9/qsGDB6u6ujpVWlqqBg0apG688Ub1wgsvKKWUmjFjhlqwYIFSSqlhw4ap3/72t8rj8SillPriiy/U7t27lVJKPfnkk2r48OGqoqLCf59HHnlETZw4USml1IYNG9Tf/va3ALmnTp2qZs+erZRS6rXXXlMDBgxQ+/bt87++fPlydfbZZyvTNNXChQtbbCu7evVqNXLkSP/7+/fvr0pLS9vwSQodlfbTTF4Q2kifPn38/92wKZTX62XXrl3U1NQwcuTIFu8pKSnhhz/8IXa7nf/85z+UlpYyaNAgvve97/HPf/6Tm266if/3//4fCxcuBHwrlPnz57Nq1SrOOeccLr74Yi655BL/9QYOHOi/N8CgQYN45ZVXADjrrLP4/PPP+f3vf09JSQm7du2ipKQkoJV3z549A3YMHDRoEN9++y1Hjx5l165dbNy4kaFDh/pfN02T2tpajh49Cvg26enSpUtbPkahgyLGQugwOByOFseUUni9Xnr16tUifgBw/PHHY7fbOfvss/n73/9OaWkpRUVFFBUVsWLFCj7//HM8Hg/Dhg0D4KabbmLMmDG89957fPTRR9x999189NFHzJ07FyBgG1jwbZDTsK/4qlWrePDBB7nqqqs499xz+eUvf8miRYsCzm/+/oZ4hK7reL1eRo8ezfTp01vokZubCxCwz4kgRIPELIQOT2FhIYcPHyY7O5vevXvTu3dv7HY7c+fO5bvvvgN8cYsNGzbw73//m+9973sMHjyYmpoali9fzqhRo7Db7dTV1fHoo4/i8Xi49tpreeaZZ3jggQdYu3at/147d+4M2E1uy5YtDBgwAIDly5czZcoUHnzwQX784x8zYMAAvvrqK1STXQQOHjzolwl8Ae2ePXuSn5/v3/GxQYfevXuzc+dOFi1a5DdIgtBa5BskdHhGjRrFKaecwp133snWrVv573//y8yZM9m/fz8nnHACAOeeey5btmxh3759DBkyBKfTyeDBg1m7di3nn38+ABkZGXz66ac8/PDD7Nixg927d/POO+8waNAg/72+/fZbHnroIUpKSli1ahWvvPIKN954IwDdunVj48aN7Nq1i507d3Lfffexa9euAOPi8XiYPXs2O3fu5N1332Xp0qXccMMNAFx77bV8+eWXPPLII5SUlPDxxx8zZ84ccnNzxVgIbUa+QUKHR9d1lixZQn5+PjfccAPXX389Xbt2ZdmyZX63T/fu3SksLOSMM84gMzMTgKKiIsC36mjg97//PbquM2nSJCZOnIjT6aS4uNj/+qmnnorT6eSqq67i6aef5sEHH+RHP/oRAPfeey+apjFhwgR+9rOf4Xa7mTp1qj/rCiA/P58zzzyTa665hoceeoibb76Zn/3sZwD06NGD5557jq1btzJ+/HhmzZrF5ZdfzuzZs+P7AQodAtkpTxASxKJFi3j//ff9qbLRsmrVKubPn8/GjRtjLJkgWCMrC0EQBMESMRaCIAiCJeKGEgRBECyRlYUgCIJgiRgLQRAEwRIxFoIgCIIlYiwEQRAES8RYCIIgCJaIsRAEQRAs+f/rjIIFNjxHuwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# build 3 different scatter figures separately seems a better way\n",
    "df_ad.plot.scatter(x = 'TV_log', y = 'sales_log', sharex=False, alpha = 0.75, c = 'orange')\n",
    "df_ad.plot.scatter(x = 'newspaper', y = 'sales_log', sharex=False, alpha = 0.75, c = 'gold')\n",
    "df_ad.plot.scatter(x = 'radio', y = 'sales_log', sharex=False, alpha = 0.75, c = 'blue')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>radio</th>\n",
       "      <th>newspaper</th>\n",
       "      <th>sales_log</th>\n",
       "      <th>TV_log</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>37.8</td>\n",
       "      <td>69.2</td>\n",
       "      <td>3.095578</td>\n",
       "      <td>5.438514</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>39.3</td>\n",
       "      <td>45.1</td>\n",
       "      <td>2.341806</td>\n",
       "      <td>3.795489</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>45.9</td>\n",
       "      <td>69.3</td>\n",
       "      <td>2.230014</td>\n",
       "      <td>2.844909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>41.3</td>\n",
       "      <td>58.5</td>\n",
       "      <td>2.917771</td>\n",
       "      <td>5.020586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>10.8</td>\n",
       "      <td>58.4</td>\n",
       "      <td>2.557227</td>\n",
       "      <td>5.197391</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   radio  newspaper  sales_log    TV_log\n",
       "0   37.8       69.2   3.095578  5.438514\n",
       "1   39.3       45.1   2.341806  3.795489\n",
       "2   45.9       69.3   2.230014  2.844909\n",
       "3   41.3       58.5   2.917771  5.020586\n",
       "4   10.8       58.4   2.557227  5.197391"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# So I choose TV_log and sales_log as the variables and results\n",
    "df_ad.head()\n",
    "df_normal = df_ad.drop(columns = ['sales_normal', 'sales', 'TV'])\n",
    "df_normal.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# correlation first as initial\n",
    "cor_format = df_normal.corr()\n",
    "# sort correlation around revenue\n",
    "# here is a bug for plt so there is a cutoff and use ylim to fit it \n",
    "# but the order is different so use smallest and invert_xaxis to fix this bug\n",
    "col_name = cor_format.nsmallest(4, 'sales_log')['sales_log'].index\n",
    "# use np to make the list for the correlation\n",
    "cor_num = np.corrcoef(df_normal[col_name].dropna(how = 'any').values.T)\n",
    "# making the figures\n",
    "plt.figure(figsize = (12,9))\n",
    "sb.set(font_scale = 1.2)\n",
    "ax = sb.heatmap(cor_num, cbar = True, annot = True, square = True, fmt = '.2f', \n",
    "                annot_kws = {'size': 15}, linewidth = 0.1, cmap = 'coolwarm',\n",
    "                yticklabels = col_name.values, xticklabels = col_name.values)\n",
    "plt.title(\"Correlation coeffiencts\")\n",
    "ax.invert_xaxis()\n",
    "plt.ylim(0,len(cor_num))\n",
    "plt.savefig(\"Output/correlation_heatmap.png\", bbox_inches = 'tight', dpi = 300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# split the data\n",
    "X=df_normal[['TV_log', 'radio', 'newspaper']]\n",
    "Y=df_normal['sales_log']\n",
    "x_train, x_test, y_train, y_test = train_test_split(X, Y, test_size=0.2, random_state = 42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# standardized all the data\n",
    "X_std = (X - X.mean(0))/X.std(0)\n",
    "Y_std = Y - Y.mean(0)\n",
    "x_train_std, x_test_std, y_train_std, y_test_std = train_test_split(X_std, Y_std, test_size=0.2, random_state = 42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For ridge model, the best alpha is 1.00 and the best score is 0.9648\n"
     ]
    }
   ],
   "source": [
    "#Grid Search Parameter Tuning\n",
    "# prepare a range of alpha values to test\n",
    "alphas = np.array([20,10,5,1,1e-2,1e-3,1e-4,1e-8,1e-10,1e-15])\n",
    "# create and fit a ridge regression model, testing each alpha\n",
    "model_ridge = Ridge()\n",
    "grid_ridge = GridSearchCV(estimator = model_ridge, param_grid = dict(alpha = alphas),cv = 5)\n",
    "grid_ridge.fit(x_train_std, y_train_std)\n",
    "# summarize the results of the grid search\n",
    "alpha_best_ridge = grid_ridge.best_estimator_.alpha\n",
    "print(\"For ridge model, the best alpha is %.2f and the best score is %.4f\" \n",
    "      %(alpha_best_ridge, grid_ridge.best_score_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R^2 for training set:0.9720078664439693\n",
      "The R^2 for test set:0.9754705007712925\n",
      "RSS: 0.18\n",
      "[0.36124006 0.19331789 0.00936568]\n"
     ]
    }
   ],
   "source": [
    "# fit the model and get the RSS and R^2\n",
    "ridge1 = Ridge(alpha = alpha_best_ridge)\n",
    "ridge1.fit(x_train_std, y_train_std)\n",
    "print (\"The R^2 for training set:\" + str(ridge1.score(x_train_std, y_train_std)))\n",
    "print (\"The R^2 for test set:\" + str(ridge1.score(x_test_std, y_test_std)))\n",
    "print (\"RSS: %.2f\" %(np.sum((ridge1.predict(x_test_std) - y_test_std) ** 2)))\n",
    "print(ridge1.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For lasso model, the best alpha is 0.0010 and the best score is 0.9647\n"
     ]
    }
   ],
   "source": [
    "# doing same thing for lasso model\n",
    "model_lasso = Lasso()\n",
    "grid_lasso = GridSearchCV(estimator = model_lasso, param_grid = dict(alpha = alphas), cv = 5)\n",
    "grid_lasso.fit(x_train_std, y_train_std)\n",
    "alpha_best_lasso = grid_lasso.best_estimator_.alpha\n",
    "print(\"For lasso model, the best alpha is %.4f and the best score is %.4f\" \n",
    "      %(alpha_best_lasso, grid_lasso.best_score_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R^2 for training set:0.9720346793748122\n",
      "The R^2 for test set:0.9755457620045703\n",
      "RSS: 0.18\n",
      "[0.36258986 0.19403792 0.00796652]\n"
     ]
    }
   ],
   "source": [
    "lasso1 = Lasso(alpha = alpha_best_lasso)\n",
    "lasso1.fit(x_train_std, y_train_std)\n",
    "print (\"The R^2 for training set:\" + str(lasso1.score(x_train_std, y_train_std)))\n",
    "print (\"The R^2 for test set:\" + str(lasso1.score(x_test_std, y_test_std)))\n",
    "print (\"RSS: %.2f\" %(np.sum((lasso1.predict(x_test_std) - y_test_std) ** 2)))\n",
    "print(lasso1.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# based on this dataset, I want to use ridge model because it fits better based on RSS, \n",
    "# But I would like to use lasso model if I want to ignore some unnecessary factors"
   ]
  }
 ],
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